GCF of 6/71, 46/97, 36/536, 318/519
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6/71, 46/97, 36/536, 318/519 i.e 2/1915853208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6/71, 46/97, 36/536, 318/519.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6/71,46/97,36/536,318/519?
Given fractions are 6/71,46/97,36/536,318/519
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6/71,46/97,36/536,318/519, numerators are 6,46,36,318
Denominators are 71,97,536,519
The GCF of 6,46,36,318 is 2 .
LCM of 71,97,536,519 is 1915853208.
The greatest common factor of 6/71,46/97,36/536,318/519 = [GCF of 6,46,36,318]/[LCM of 71,97,536,519]= 2/1915853208
Therefore, the GCF of 6/71,46/97,36/536,318/519 is 2/1915853208.
To find the highest common factor of 6,46,36,318, we have to find the factors of both numbers and list the highest common factor.
The factors of 6 are 1, 2, 3, 6
The factors of 46 are 1, 2, 23, 46
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318
The HCF of 6,46,36,318 is 2.
Lets's calculate GCF of 6,46,36,318
| 2 | 6, 46, 36, 318 |
| 3, 23, 18, 159 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6,46,36,318 By Matching Biggest Common Factor Method
Now, list down the factors of 6
:1,2,3,6
Now, list down the factors of 46
:1,2,23,46
Now, list down the factors of 36
:1,2,3,4,6,9,12,18,36
Now, list down the factors of 318
:1,2,3,6,53,106,159,318
Greatest Common Factor
We found the factors 6,46,36,318 . The biggest common factor number is the GCF number.
So the greatest common factor 6,46,36,318 is 2.
Lets's calculate LCM of 71,97,536,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 1915853208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1915853208
Therefore, the GCF of Fractions 6/71,46/97,36/536,318/519 is 2/1915853208
Least Common Multiple of 71,97,536,519 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 71,97,536,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,97,536,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,97,536,519) x common factors =1 x 1 = 1
LCM(71,97,536,519) = ( 71 × 97 × 536 × 519 ) / 1
LCM(71,97,536,519) = 1915853208 / 1
LCM(71,97,536,519) = 1915853208
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6/71, 46/97, 36/536, 318/519
1. What is the HCF of 6,46,36,318?
The HCF of 6,46,36,318 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6/71, 46/97, 36/536, 318/519?
Answer: GCF of Numerators as per given numbers 6/71, 46/97, 36/536, 318/519 is
GCF of Numerators i.e. for 6,46,36,318 is 2
LCM of denominators i.e. for 71,97,536,519 is 1915853208.
Thus, GCF of Fractions is 2/1915853208.Finally, GCF of Fractions for 6/71, 46/97, 36/536, 318/519 is 2/1915853208.