To get your task done quickly of finding HCF in no time with a detailed procedure use the Free Online tool, HCF of 3 Numbers Calculator. Just insert all three numbers in their given place and click the “calculate” button to avail the results.
Here are some samples of HCF of 3 Numbers calculations.
HCF of 3 Numbers Calculator: Want to get your assignments done quickly without any trouble? You need only one thing our HCF of 3 Number Calculator. This tool helps you to get your calculation done quickly and to finish your tasks ahead with zero doubts. Apart from this, you will also see the detailed process below on how to find the highest common factor.
The abbreviation of HCF is Highest common factor and it is the highest integer that exactly divisible by all given numbers with remainder zero. The denotation for HCF of three numbers like a, b, c is HCF(a, b, c).
How to Find HCF of 3 Numbers Easily?
For finding the highest common factor of three numbers, we have various major approaches which can make your calculations so easy and quick. The list of methods that are used to find the HCF of 3 numbers are given here along with detailed steps and solved examples. Take a look at all the methods of finding the Highest common factor of 3 numbers and use the apt method that fits for your given input integers.
Detailed Steps for Finding HCF of Three Numbers Using Factoring Method
Find the HCF of 80, 45, 32 using Factoring?
Given numbers are 80, 45, 32 and find the factors for each number initially,
The factors of 32 are 1, 2, 4, 8, 16, 32
The factors of 45 are 1, 3, 5, 9, 15, 45
The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Now, list the common factors from each number, there is only one common factor for all three numbers ie., 1.
Thus, HCF(80, 45, 32) is 1.
Highest Common Factor of 3 Numbers by Prime Factorization Method
The steps that are involved in finding the highest common factor of three numbers using prime factorization are listed here:
Find HCF(36, 27, 80) by Prime Factorization?
Given three numbers to find HCF are 36, 27, and 80
Step 1: Find the product of prime factors for each given number.
Prime factors of 36 = 2² × 3²
Prime factors of 27 = 33
Prime factors of 80 = 24 × 5
Step 2: HCF is the product of all common prime factors using the least power of each common prime factor. Here there are no common prime factors for the given numbers.
So, the answer for HCF of three numbers 36, 27, and 80 is 1.
Procedure on HCF of 3 Numbers using Division Method
A Division Method is also one of the best methods to solve the Highest common factor of three numbers. For three numbers, first, we need to calculate the HCF using the division method for two numbers then again HCF of two numbers result and the third number. The steps to find out HCF of two given numbers using the division method are as follows:
Find the HCF of 9, 27, and 48 using the division method?
Given three numbers are 9, 27, 48
Now take two numbers first for finding the HCF of two numbers
Let's first, find out HCF of 9 and 27 by division method,
Thus, HCF of 9 and 27 = 9
Now, find out HCF of 9, 27, and 48
⇒ HCF of [(HCF of 9, 27) and 48]
⇒ HCF of (9, 48)
Apply the division method steps and find out the HCF of 9 and 48
So, the answer for HCF of 9, 27, 48 is 3.
Factors of a given number are an integer that divides the given number completely with no remainders.
We can find factors by different methods. One of them is to divide the original number starting from the smallest number, i.e. ‘2’. Here, divisors whose remainder is zero are the factors of the original number. Also, the quotients of all the divisors are also the factors of the original number.
The Greatest Common Divisor (GCD) of a given set of numbers is the greatest factor when we divide the given set of numbers by it, we get the whole number quotient with no remainder every time. The Greatest Common Factor (GCF) of a set of numbers is a number which is a common factor to all the given numbers. The Highest Common Factor (HCF) is the same as GCF & GCD.
Here is a formula to calculate the HCF of 2 or more fractions:
HCF (fractions) = HCF (all no in numerator) / LCM (all no in denominator)
Here are the steps to calculate the HCF of 3 numbers using prime factorization:
Find the HCF of 36, 80 & 46.
Here, the numbers are 36, 80 & 46.
Let us first take 36 & 80. & find their prime factors.
Prime factors of 36 are 2, 2, 3, 3.
Prime factors of 80 are 2, 2, 2, 2, 5.
Here, common factors among the above factors are 2 & 2.
So now the HCF (36, 80) = 2 x 2 = 4
Now we will find the prime factors of 46 & HCF
Prime factors of 46 are 2, 23.
Prime factors of 4 are 2, 2.
Now the common factor among the above factors is 2.
So, now we can say that the HCF of numbers 36, 80 & 46 is ‘2’.
To find out HCF by division method, consider the smaller number among the 3 numbers, as the divisor and consider the second smaller number as the dividend, now begin with the division process until the remainder is 0.
Determining HCF is easy as 17 is the largest common factor shared by the given three numbers. Hence 17 is the HCF for the above-given numbers.
LCM and HCF calculator is an online tool specially designed to determine the LCM and HCF values for multiple numbers at a single place. You can find out several tools at hcflcm.com to understand more such mathematical concepts in no time.
First, enter the three numbers in the input space given, then click on the "Calculate" button, and scroll down to check the results with an explanation. To enter the next set of numbers press the "Reset" button.