Greatest Common Factor of 5260/721, 9608/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5260/721, 9608/326

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 5260/721,9608/326

Given fractions are 5260/721,9608/326

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 5260,9608

Greatest Common Factor of Numerators i.e. GCF of 5260,9608 is 4 .

LCM of Denominators means LCM of 721,326 as per the given fractions.

LCM of 721,326 is 235046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5260,9608

GCF of Fractions 5260/721,9608/326 is 4/235046

2 5260, 9608
2 2630, 4804
1315, 2402

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

Greatest Common Factor of 5260,9608 By Matching Biggest Common Factor Method

Greatest Common Factor of 5260,9608 By Matching Biggest Common Factor Method

Factors of 5260

List of positive integer factors of 5260 that divides 5260 without a remainder.

1,2,4,5,10,20,263,526,1052,1315,2630,5260

Factors of 9608

List of positive integer factors of 9608 that divides 9608 without a remainder.

1,2,4,8,1201,2402,4804,9608

Greatest Common Factor

We found the factors 5260,9608 . The biggest common factor number is the GCF number.
So the greatest common factor 5260,9608 is 4.

Lets's calculate LCM of 721,326

Given numbers has no common factors except 1. So, there LCM is their product i.e 235046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/235046

Therefore, the GCF of Fractions 5260/721,9608/326 is 4/235046

Least Common Multiple of 721,326 with GCF Formula

Least Common Multiple of 721,326 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 721,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,326) = 1

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

GCF(721,326) x common factors =1 x 1 = 1

LCM(721,326) = ( 721 × 326 ) / 1

LCM(721,326) = 235046 / 1

LCM(721,326) = 235046


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 5260/721, 9608/326

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 5260/721, 9608/326?

Answer: GCF of Numerators as per given numbers 5260/721, 9608/326 is

GCF of Numerators i.e. for 5260,9608 is 4

LCM of denominators i.e. for 721,326 is 235046.

Thus, GCF of Fractions is 4/235046.Finally, GCF of Fractions for 5260/721, 9608/326 is 4/235046.