Greatest Common Factor of 7951/31, 9779/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7951/31, 9779/169

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 7951/31,9779/169

Given fractions are 7951/31,9779/169

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 7951,9779

Greatest Common Factor of Numerators i.e. GCF of 7951,9779 is 1 .

LCM of Denominators means LCM of 31,169 as per the given fractions.

LCM of 31,169 is 5239 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7951,9779

GCF of Fractions 7951/31,9779/169 is 1/5239

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

Greatest Common Factor of 7951,9779 By Matching Biggest Common Factor Method

Greatest Common Factor of 7951,9779 By Matching Biggest Common Factor Method

Factors of 7951

List of positive integer factors of 7951 that divides 7951 without a remainder.

1,7951

Factors of 9779

List of positive integer factors of 9779 that divides 9779 without a remainder.

1,7,11,77,127,889,1397,9779

Greatest Common Factor

We found the factors 7951,9779 . The biggest common factor number is the GCF number.
So the greatest common factor 7951,9779 is 1.

Lets's calculate LCM of 31,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 5239

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5239

Therefore, the GCF of Fractions 7951/31,9779/169 is 1/5239

Least Common Multiple of 31,169 with GCF Formula

Least Common Multiple of 31,169 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 31,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,169) = 1

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

GCF(31,169) x common factors =1 x 1 = 1

LCM(31,169) = ( 31 × 169 ) / 1

LCM(31,169) = 5239 / 1

LCM(31,169) = 5239


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 7951/31, 9779/169

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 7951/31, 9779/169?

Answer: GCF of Numerators as per given numbers 7951/31, 9779/169 is

GCF of Numerators i.e. for 7951,9779 is 1

LCM of denominators i.e. for 31,169 is 5239.

Thus, GCF of Fractions is 1/5239.Finally, GCF of Fractions for 7951/31, 9779/169 is 1/5239.