Greatest Common Factor of 6520/365, 7472/641

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6520/365, 7472/641

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 6520/365,7472/641

Given fractions are 6520/365,7472/641

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 6520,7472

Greatest Common Factor of Numerators i.e. GCF of 6520,7472 is 8 .

LCM of Denominators means LCM of 365,641 as per the given fractions.

LCM of 365,641 is 233965 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6520,7472

GCF of Fractions 6520/365,7472/641 is 8/233965

2 6520, 7472
2 3260, 3736
2 1630, 1868
815, 934

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 6520,7472 By Matching Biggest Common Factor Method

Greatest Common Factor of 6520,7472 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 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

Greatest Common Factor

We found the factors 6520,7472 . The biggest common factor number is the GCF number.
So the greatest common factor 6520,7472 is 8.

Lets's calculate LCM of 365,641

Given numbers has no common factors except 1. So, there LCM is their product i.e 233965

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/233965

Therefore, the GCF of Fractions 6520/365,7472/641 is 8/233965

Least Common Multiple of 365,641 with GCF Formula

Least Common Multiple of 365,641 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 365,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,641) = 1

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

GCF(365,641) x common factors =1 x 1 = 1

LCM(365,641) = ( 365 × 641 ) / 1

LCM(365,641) = 233965 / 1

LCM(365,641) = 233965


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 6520/365, 7472/641

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 6520/365, 7472/641?

Answer: GCF of Numerators as per given numbers 6520/365, 7472/641 is

GCF of Numerators i.e. for 6520,7472 is 8

LCM of denominators i.e. for 365,641 is 233965.

Thus, GCF of Fractions is 8/233965.Finally, GCF of Fractions for 6520/365, 7472/641 is 8/233965.