Greatest Common Factor of 7641/336, 3141/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7641/336, 3141/581

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 7641/336,3141/581

Given fractions are 7641/336,3141/581

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 7641,3141

Greatest Common Factor of Numerators i.e. GCF of 7641,3141 is 9 .

LCM of Denominators means LCM of 336,581 as per the given fractions.

LCM of 336,581 is 27888 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7641,3141

GCF of Fractions 7641/336,3141/581 is 9/27888

3 7641, 3141
3 2547, 1047
849, 349

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 7641,3141 By Matching Biggest Common Factor Method

Greatest Common Factor of 7641,3141 By Matching Biggest Common Factor Method

Factors of 7641

List of positive integer factors of 7641 that divides 7641 without a remainder.

1,3,9,27,283,849,2547,7641

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors 7641,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 7641,3141 is 9.

Lets's calculate LCM of 336,581

7 336, 581
48, 83

∴ So the LCM of the given numbers is 7 x 48 x 83 = 27888

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/27888

Therefore, the GCF of Fractions 7641/336,3141/581 is 9/27888

Least Common Multiple of 336,581 with GCF Formula

Least Common Multiple of 336,581 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 336,581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,581) = 7

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

GCF(336,581) x common factors =7 x 1 = 7

LCM(336,581) = ( 336 × 581 ) / 7

LCM(336,581) = 195216 / 7

LCM(336,581) = 27888


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 7641/336, 3141/581

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 7641/336, 3141/581?

Answer: GCF of Numerators as per given numbers 7641/336, 3141/581 is

GCF of Numerators i.e. for 7641,3141 is 9

LCM of denominators i.e. for 336,581 is 27888.

Thus, GCF of Fractions is 9/27888.Finally, GCF of Fractions for 7641/336, 3141/581 is 9/27888.