Greatest Common Factor of 951/26, 117/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 951/26, 117/988

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 951/26,117/988

Given fractions are 951/26,117/988

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 951,117

Greatest Common Factor of Numerators i.e. GCF of 951,117 is 3 .

LCM of Denominators means LCM of 26,988 as per the given fractions.

LCM of 26,988 is 988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 951,117

GCF of Fractions 951/26,117/988 is 3/988

3 951, 117
317, 39

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 951,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 951,117 By Matching Biggest Common Factor Method

Factors of 951

List of positive integer factors of 951 that divides 951 without a remainder.

1,3,317,951

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 951,117 . The biggest common factor number is the GCF number.
So the greatest common factor 951,117 is 3.

Lets's calculate LCM of 26,988

2 26, 988
13 13, 494
1, 38

∴ So the LCM of the given numbers is 2 x 13 x 1 x 38 = 988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/988

Therefore, the GCF of Fractions 951/26,117/988 is 3/988

Least Common Multiple of 26,988 with GCF Formula

Least Common Multiple of 26,988 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 26,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,988) = 26

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

GCF(26,988) x common factors =26 x 1 = 26

LCM(26,988) = ( 26 × 988 ) / 26

LCM(26,988) = 25688 / 26

LCM(26,988) = 988


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 951/26, 117/988

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 951/26, 117/988?

Answer: GCF of Numerators as per given numbers 951/26, 117/988 is

GCF of Numerators i.e. for 951,117 is 3

LCM of denominators i.e. for 26,988 is 988.

Thus, GCF of Fractions is 3/988.Finally, GCF of Fractions for 951/26, 117/988 is 3/988.