Greatest Common Factor of 3201/661, 7579/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3201/661, 7579/637

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 3201/661,7579/637

Given fractions are 3201/661,7579/637

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 3201,7579

Greatest Common Factor of Numerators i.e. GCF of 3201,7579 is 11 .

LCM of Denominators means LCM of 661,637 as per the given fractions.

LCM of 661,637 is 421057 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3201,7579

GCF of Fractions 3201/661,7579/637 is 11/421057

11 3201, 7579
291, 689

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3201,7579 By Matching Biggest Common Factor Method

Greatest Common Factor of 3201,7579 By Matching Biggest Common Factor Method

Factors of 3201

List of positive integer factors of 3201 that divides 3201 without a remainder.

1,3,11,33,97,291,1067,3201

Factors of 7579

List of positive integer factors of 7579 that divides 7579 without a remainder.

1,11,13,53,143,583,689,7579

Greatest Common Factor

We found the factors 3201,7579 . The biggest common factor number is the GCF number.
So the greatest common factor 3201,7579 is 11.

Lets's calculate LCM of 661,637

Given numbers has no common factors except 1. So, there LCM is their product i.e 421057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/421057

Therefore, the GCF of Fractions 3201/661,7579/637 is 11/421057

Least Common Multiple of 661,637 with GCF Formula

Least Common Multiple of 661,637 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 661,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,637) = 1

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

GCF(661,637) x common factors =1 x 1 = 1

LCM(661,637) = ( 661 × 637 ) / 1

LCM(661,637) = 421057 / 1

LCM(661,637) = 421057


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 3201/661, 7579/637

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 3201/661, 7579/637?

Answer: GCF of Numerators as per given numbers 3201/661, 7579/637 is

GCF of Numerators i.e. for 3201,7579 is 11

LCM of denominators i.e. for 661,637 is 421057.

Thus, GCF of Fractions is 11/421057.Finally, GCF of Fractions for 3201/661, 7579/637 is 11/421057.