Greatest Common Factor of 931/576, 3647/7101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/576, 3647/7101

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 931/576,3647/7101

Given fractions are 931/576,3647/7101

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 931,3647

Greatest Common Factor of Numerators i.e. GCF of 931,3647 is 7 .

LCM of Denominators means LCM of 576,7101 as per the given fractions.

LCM of 576,7101 is 454464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,3647

GCF of Fractions 931/576,3647/7101 is 7/454464

7 931, 3647
133, 521

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 931,3647 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,3647 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 3647

List of positive integer factors of 3647 that divides 3647 without a remainder.

1,7,521,3647

Greatest Common Factor

We found the factors 931,3647 . The biggest common factor number is the GCF number.
So the greatest common factor 931,3647 is 7.

Lets's calculate LCM of 576,7101

3 576, 7101
3 192, 2367
64, 789

∴ So the LCM of the given numbers is 3 x 3 x 64 x 789 = 454464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/454464

Therefore, the GCF of Fractions 931/576,3647/7101 is 7/454464

Least Common Multiple of 576,7101 with GCF Formula

Least Common Multiple of 576,7101 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 576,7101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,7101) = 9

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

GCF(576,7101) x common factors =9 x 1 = 9

LCM(576,7101) = ( 576 × 7101 ) / 9

LCM(576,7101) = 4090176 / 9

LCM(576,7101) = 454464


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 931/576, 3647/7101

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 931/576, 3647/7101?

Answer: GCF of Numerators as per given numbers 931/576, 3647/7101 is

GCF of Numerators i.e. for 931,3647 is 7

LCM of denominators i.e. for 576,7101 is 454464.

Thus, GCF of Fractions is 7/454464.Finally, GCF of Fractions for 931/576, 3647/7101 is 7/454464.