Greatest Common Factor of 260/722, 9971/779

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/722, 9971/779

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 260/722,9971/779

Given fractions are 260/722,9971/779

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 260,9971

Greatest Common Factor of Numerators i.e. GCF of 260,9971 is 13 .

LCM of Denominators means LCM of 722,779 as per the given fractions.

LCM of 722,779 is 29602 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,9971

GCF of Fractions 260/722,9971/779 is 13/29602

13 260, 9971
20, 767

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

Greatest Common Factor of 260,9971 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,9971 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 9971

List of positive integer factors of 9971 that divides 9971 without a remainder.

1,13,59,169,767,9971

Greatest Common Factor

We found the factors 260,9971 . The biggest common factor number is the GCF number.
So the greatest common factor 260,9971 is 13.

Lets's calculate LCM of 722,779

19 722, 779
38, 41

∴ So the LCM of the given numbers is 19 x 38 x 41 = 29602

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/29602

Therefore, the GCF of Fractions 260/722,9971/779 is 13/29602

Least Common Multiple of 722,779 with GCF Formula

Least Common Multiple of 722,779 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 722,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,779) = 19

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

GCF(722,779) x common factors =19 x 1 = 19

LCM(722,779) = ( 722 × 779 ) / 19

LCM(722,779) = 562438 / 19

LCM(722,779) = 29602


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 260/722, 9971/779

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 260/722, 9971/779?

Answer: GCF of Numerators as per given numbers 260/722, 9971/779 is

GCF of Numerators i.e. for 260,9971 is 13

LCM of denominators i.e. for 722,779 is 29602.

Thus, GCF of Fractions is 13/29602.Finally, GCF of Fractions for 260/722, 9971/779 is 13/29602.