Greatest Common Factor of 85/956, 2992/7156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/956, 2992/7156

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 85/956,2992/7156

Given fractions are 85/956,2992/7156

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 85,2992

Greatest Common Factor of Numerators i.e. GCF of 85,2992 is 17 .

LCM of Denominators means LCM of 956,7156 as per the given fractions.

LCM of 956,7156 is 1710284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,2992

GCF of Fractions 85/956,2992/7156 is 17/1710284

17 85, 2992
5, 176

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 85,2992 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,2992 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992

Greatest Common Factor

We found the factors 85,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 85,2992 is 17.

Lets's calculate LCM of 956,7156

2 956, 7156
2 478, 3578
239, 1789

∴ So the LCM of the given numbers is 2 x 2 x 239 x 1789 = 1710284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/1710284

Therefore, the GCF of Fractions 85/956,2992/7156 is 17/1710284

Least Common Multiple of 956,7156 with GCF Formula

Least Common Multiple of 956,7156 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 956,7156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(956,7156) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(956,7156) x common factors =4 x 1 = 4

LCM(956,7156) = ( 956 × 7156 ) / 4

LCM(956,7156) = 6841136 / 4

LCM(956,7156) = 1710284


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 85/956, 2992/7156

1. 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.

2. What is the GCF of Fractions for 85/956, 2992/7156?

Answer: GCF of Numerators as per given numbers 85/956, 2992/7156 is

GCF of Numerators i.e. for 85,2992 is 17

LCM of denominators i.e. for 956,7156 is 1710284.

Thus, GCF of Fractions is 17/1710284.Finally, GCF of Fractions for 85/956, 2992/7156 is 17/1710284.