Greatest Common Factor of 260/397, 7924/1760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 260/397, 7924/1760

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 260/397,7924/1760

Given fractions are 260/397,7924/1760

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 260,7924

Greatest Common Factor of Numerators i.e. GCF of 260,7924 is 4 .

LCM of Denominators means LCM of 397,1760 as per the given fractions.

LCM of 397,1760 is 698720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 260,7924

GCF of Fractions 260/397,7924/1760 is 4/698720

2 260, 7924
2 130, 3962
65, 1981

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 260,7924 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,7924 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 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Greatest Common Factor

We found the factors 260,7924 . The biggest common factor number is the GCF number.
So the greatest common factor 260,7924 is 4.

Lets's calculate LCM of 397,1760

Given numbers has no common factors except 1. So, there LCM is their product i.e 698720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/698720

Therefore, the GCF of Fractions 260/397,7924/1760 is 4/698720

Least Common Multiple of 397,1760 with GCF Formula

Least Common Multiple of 397,1760 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 397,1760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,1760) = 1

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

GCF(397,1760) x common factors =1 x 1 = 1

LCM(397,1760) = ( 397 × 1760 ) / 1

LCM(397,1760) = 698720 / 1

LCM(397,1760) = 698720


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 260/397, 7924/1760

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 260/397, 7924/1760?

Answer: GCF of Numerators as per given numbers 260/397, 7924/1760 is

GCF of Numerators i.e. for 260,7924 is 4

LCM of denominators i.e. for 397,1760 is 698720.

Thus, GCF of Fractions is 4/698720.Finally, GCF of Fractions for 260/397, 7924/1760 is 4/698720.