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The HCF and LCM Calculators existing will determine the Highest Common Factor(HCF) and Least Common Multiple of given set of numbers starting from 2 to n. Just enter the inputs separated by commas and click on the calculate button to avail resultant HCF and LCM values in the blink of an eye. Continue reading to know about HCF and LCM Definitions, Full Forms, Formulas, Steps on How to find HCF and LCM, etc.
Please Select a calculator below to start calculate Factors, LCM (LCD) or GCF (GCD)
The highest Common Factor or Greatest Common Divisor of two or more numbers is the largest positive number that divides the numbers without leaving a remainder. For Example, if we consider 12 and 24 the Highest Common Factor is 12.
HCF Full Form - “Highest Common Factor”.
The Least Common Multiple or Least Common Divisor of two or more numbers is the smallest positive number that is divisible by both numbers. Let us consider the numbers 4 and 8 the Least Common Multiple is 8.
LCM Full Form - “Least Common Multiple”
The Highest Common Factor is also referred to as Greatest Common Factor or Greatest Common Divisor. HCF of two numbers a, and b is nothing but the greatest number that divides both of them leaving a remainder of zero. It can be written as HCF(a, b).
HCF(12, 36) = 12
The Least Common Multiple is also known as Lowest Common Multiple or Least Common Divisor. Let us say there are two integers a, b the Least Common Multiple of them is the smallest number that is divisible by both the integers a and b and is denoted as LCM(a,b)
LCM(2, 6) = 6
HCF of Two or More Numbers is nothing but the greatest number that divides all the numbers in a set without leaving any remainder. Let us consider the numbers 12, 24, 48 the HCF is 12.
HCF(12, 24, 48) = 12
LCM of Two or More Numbers is the smallest number that is divisible by all three numbers. Let us consider the numbers 8, 12, and 16 the LCM is 48.
LCM(8, 12, 16) = 48
Euclid’s Division Method is used to compute the Highest Common Factor of two or more given numbers say a, b, c…HCF(a, b) is the highest positive integer that divides both a and b.
For example HCF of 48, 60 can be written as HCF(48, 60) = 12
Factoring Calculator determines the factors and factor pairs of given numbers in seconds. All you have to do is enter the number in the input to obtain its factors and factor pairs.
For Example: 60 Factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
You can determine the prime factors of a number easily taking the help of this quick math tool. You can get the Prime Factors of a Number both with exponents and without exponents using this tool. The tool works for numbers ranging from 2 and 9007199254740991.
For Example Prime Factors of 24 in Exponents can be written as 24 = 23 x 3
Prime Factors of 24 without Exponents is written as 24 = 2 x 2 x 2 x 3
Use the Factor Tree Calculator over here and break down the number into its prime factors. Prime Factorization of a number is nothing but the list of prime numbers you would multiply to obtain the particular number.
Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
To obtain the LCM of given decimals firstly remove the decimals and find out the LCM as if they were regular numbers. Now, count the number with minimum decimal places and keep the number of decimal places in the answer i.e. from right to left. You can simply mention the inputs in the tool and hit the calculate button. Leave the rest as our calculator does everything for you.
For Example LCM(0.3, 0.6) = 0.6
Finding HCF of Decimals is pretty much simple. Firstly, cut off the decimal places and determine the HCF just like how you do with regular numbers. Now, count the number with minimum digits from right to left. Now, place the decimal place in the result that is equal to a number of digits. You can specify the inputs in the HCF of Decimals Calculator and leave the rest for us.
The formula to compute the Least Common Multiple of Fractions is given below i.e. LCM of Fractions = LCM of Numerators/HCF of Denominators. For Example LCM of Fractions 5/4 and 3/8 can be written as LCM(5/4, 3/8) = LCM(5, 3)/HCF(4, 8) = 15/4
If you feel all this is tedious for you you can rely on our handy LCM of Fractions Calculator and obtain the answer in no time.
HCF of Fractions can be computed quite easily if you know the formula. HCF of Fractions = HCF of Numerators/LCM of Denominators. For Instance HCF of Fractions 15/45 and 80/92 is written as such
HCF(15/45, 80/92) = HCF(15, 80)/LCM(45, 92) = 5/178020.
You can rely on our GCF of Fractions Calculator to find out the GCF of Fractions instantly.
Below is the list of Properties that are related to HCF and LCM. They are along the lines
Property - 1
Multiplying LCM and HCF of given numbers will result in the Product of Given Numbers i.e. LCM x HCF = Product of given numbers. Let us say you have two numbers a and b then LCM(a,b) x HCF(a, b) = a x b. Remember this property holds true for only two numbers.
Property - 2
HCF of Co-Prime Numbers is 1. Thus, the LCM of given co-prime numbers is equal to the product of numbers. LCM of Co-Prime Numbers = Product of Two Numbers.
Property - 3
The third propertyis related to LCM and HCF of Fractions.
LCM of Fractions = LCM of Numerators / HCF of Denominators
HCF of Fractions = HCF of Numerators / LCM of Denominators
Property - 4
Remember HCF of two or more given numbers is never greater than the given numbers.
Property - 5
LCM of two or more numbers is never less than any of the given numbers.
1. What is the fastest way to calculate HCF and LCM?
The fastest way to calculate HCF and LCM is to make use of our calculators available on hcflcm.com
2. What is the formula for Calculating the HCF of Fractions?
The formula to calculate HCF of Fractions is given by HCF of Fractions = HCF of Numerators/LCM of Denominators.
3. What does LCM mean?
LCM means Least Common Multiple.
4. What is the Fullform of HCF?
HCF stands for Highest Common Factor.
5. What is the HCF of 24 and 36?
HCF of 24 and 36 is 12.
6. What is the difference between HCF and LCM?
LCM of two or more numbers is the smallest number among the common multiples of given numbers whereas HCF is the highest number among all the common factors of given numbers.
7. What is the Use of HCF?
HCF can be used to divide things into smaller sections and arrange things in groups and rows.