Greatest Common Factor of 9880/416, 8931/797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9880/416, 8931/797

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 9880/416,8931/797

Given fractions are 9880/416,8931/797

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 9880,8931

Greatest Common Factor of Numerators i.e. GCF of 9880,8931 is 13 .

LCM of Denominators means LCM of 416,797 as per the given fractions.

LCM of 416,797 is 331552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9880,8931

GCF of Fractions 9880/416,8931/797 is 13/331552

13 9880, 8931
760, 687

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9880,8931 By Matching Biggest Common Factor Method

Greatest Common Factor of 9880,8931 By Matching Biggest Common Factor Method

Factors of 9880

List of positive integer factors of 9880 that divides 9880 without a remainder.

1,2,4,5,8,10,13,19,20,26,38,40,52,65,76,95,104,130,152,190,247,260,380,494,520,760,988,1235,1976,2470,4940,9880

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1,3,13,39,229,687,2977,8931

Greatest Common Factor

We found the factors 9880,8931 . The biggest common factor number is the GCF number.
So the greatest common factor 9880,8931 is 13.

Lets's calculate LCM of 416,797

Given numbers has no common factors except 1. So, there LCM is their product i.e 331552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/331552

Therefore, the GCF of Fractions 9880/416,8931/797 is 13/331552

Least Common Multiple of 416,797 with GCF Formula

Least Common Multiple of 416,797 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 416,797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(416,797) = 1

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

GCF(416,797) x common factors =1 x 1 = 1

LCM(416,797) = ( 416 × 797 ) / 1

LCM(416,797) = 331552 / 1

LCM(416,797) = 331552


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 9880/416, 8931/797

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 9880/416, 8931/797?

Answer: GCF of Numerators as per given numbers 9880/416, 8931/797 is

GCF of Numerators i.e. for 9880,8931 is 13

LCM of denominators i.e. for 416,797 is 331552.

Thus, GCF of Fractions is 13/331552.Finally, GCF of Fractions for 9880/416, 8931/797 is 13/331552.