Greatest Common Factor of 956/710, 5077/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 956/710, 5077/172

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 956/710,5077/172

Given fractions are 956/710,5077/172

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 956,5077

Greatest Common Factor of Numerators i.e. GCF of 956,5077 is 1 .

LCM of Denominators means LCM of 710,172 as per the given fractions.

LCM of 710,172 is 61060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 956,5077

GCF of Fractions 956/710,5077/172 is 1/61060

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 956,5077 By Matching Biggest Common Factor Method

Greatest Common Factor of 956,5077 By Matching Biggest Common Factor Method

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Factors of 5077

List of positive integer factors of 5077 that divides 5077 without a remainder.

1,5077

Greatest Common Factor

We found the factors 956,5077 . The biggest common factor number is the GCF number.
So the greatest common factor 956,5077 is 1.

Lets's calculate LCM of 710,172

2 710, 172
355, 86

∴ So the LCM of the given numbers is 2 x 355 x 86 = 61060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61060

Therefore, the GCF of Fractions 956/710,5077/172 is 1/61060

Least Common Multiple of 710,172 with GCF Formula

Least Common Multiple of 710,172 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 710,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,172) = 2

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

GCF(710,172) x common factors =2 x 1 = 2

LCM(710,172) = ( 710 × 172 ) / 2

LCM(710,172) = 122120 / 2

LCM(710,172) = 61060


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 956/710, 5077/172

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 956/710, 5077/172?

Answer: GCF of Numerators as per given numbers 956/710, 5077/172 is

GCF of Numerators i.e. for 956,5077 is 1

LCM of denominators i.e. for 710,172 is 61060.

Thus, GCF of Fractions is 1/61060.Finally, GCF of Fractions for 956/710, 5077/172 is 1/61060.