Greatest Common Factor of 6520/123, 9689/7347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6520/123, 9689/7347

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 6520/123,9689/7347

Given fractions are 6520/123,9689/7347

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 6520,9689

Greatest Common Factor of Numerators i.e. GCF of 6520,9689 is 1 .

LCM of Denominators means LCM of 123,7347 as per the given fractions.

LCM of 123,7347 is 301227 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6520,9689

GCF of Fractions 6520/123,9689/7347 is 1/301227

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

Greatest Common Factor of 6520,9689 By Matching Biggest Common Factor Method

Greatest Common Factor of 6520,9689 By Matching Biggest Common Factor Method

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520

Factors of 9689

List of positive integer factors of 9689 that divides 9689 without a remainder.

1,9689

Greatest Common Factor

We found the factors 6520,9689 . The biggest common factor number is the GCF number.
So the greatest common factor 6520,9689 is 1.

Lets's calculate LCM of 123,7347

3 123, 7347
41, 2449

∴ So the LCM of the given numbers is 3 x 41 x 2449 = 301227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/301227

Therefore, the GCF of Fractions 6520/123,9689/7347 is 1/301227

Least Common Multiple of 123,7347 with GCF Formula

Least Common Multiple of 123,7347 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 123,7347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,7347) = 3

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

GCF(123,7347) x common factors =3 x 1 = 3

LCM(123,7347) = ( 123 × 7347 ) / 3

LCM(123,7347) = 903681 / 3

LCM(123,7347) = 301227


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 6520/123, 9689/7347

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 6520/123, 9689/7347?

Answer: GCF of Numerators as per given numbers 6520/123, 9689/7347 is

GCF of Numerators i.e. for 6520,9689 is 1

LCM of denominators i.e. for 123,7347 is 301227.

Thus, GCF of Fractions is 1/301227.Finally, GCF of Fractions for 6520/123, 9689/7347 is 1/301227.