Greatest Common Factor of 9201/378, 2714/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9201/378, 2714/577

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 9201/378,2714/577

Given fractions are 9201/378,2714/577

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 9201,2714

Greatest Common Factor of Numerators i.e. GCF of 9201,2714 is 1 .

LCM of Denominators means LCM of 378,577 as per the given fractions.

LCM of 378,577 is 218106 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9201,2714

GCF of Fractions 9201/378,2714/577 is 1/218106

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

Greatest Common Factor of 9201,2714 By Matching Biggest Common Factor Method

Greatest Common Factor of 9201,2714 By Matching Biggest Common Factor Method

Factors of 9201

List of positive integer factors of 9201 that divides 9201 without a remainder.

1,3,3067,9201

Factors of 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Greatest Common Factor

We found the factors 9201,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 9201,2714 is 1.

Lets's calculate LCM of 378,577

Given numbers has no common factors except 1. So, there LCM is their product i.e 218106

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218106

Therefore, the GCF of Fractions 9201/378,2714/577 is 1/218106

Least Common Multiple of 378,577 with GCF Formula

Least Common Multiple of 378,577 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 378,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,577) = 1

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

GCF(378,577) x common factors =1 x 1 = 1

LCM(378,577) = ( 378 × 577 ) / 1

LCM(378,577) = 218106 / 1

LCM(378,577) = 218106


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 9201/378, 2714/577

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 9201/378, 2714/577?

Answer: GCF of Numerators as per given numbers 9201/378, 2714/577 is

GCF of Numerators i.e. for 9201,2714 is 1

LCM of denominators i.e. for 378,577 is 218106.

Thus, GCF of Fractions is 1/218106.Finally, GCF of Fractions for 9201/378, 2714/577 is 1/218106.