Greatest Common Factor of 296/41, 643/39, 724/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 296/41, 643/39, 724/21

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 296/41,643/39,724/21

Given fractions are 296/41,643/39,724/21

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 296,643,724

Greatest Common Factor of Numerators i.e. GCF of 296,643,724 is 1 .

LCM of Denominators means LCM of 41,39,21 as per the given fractions.

LCM of 41,39,21 is 11193 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 296,643,724

GCF of Fractions 296/41,643/39,724/21 is 1/11193

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

Greatest Common Factor of 296,643,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,643,724 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 296,643,724 . The biggest common factor number is the GCF number.
So the greatest common factor 296,643,724 is 1.

Lets's calculate LCM of 41,39,21

3 41, 39, 21
41, 13, 7

∴ So the LCM of the given numbers is 3 x 41 x 13 x 7 = 11193

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11193

Therefore, the GCF of Fractions 296/41,643/39,724/21 is 1/11193

Least Common Multiple of 41,39,21 with GCF Formula

Least Common Multiple of 41,39,21 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 41,39,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,39,21) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(41,39,21) x common factors =1 x 3 = 3

LCM(41,39,21) = ( 41 × 39 × 21 ) / 3

LCM(41,39,21) = 33579 / 3

LCM(41,39,21) = 11193


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 296/41, 643/39, 724/21

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 296/41, 643/39, 724/21?

Answer: GCF of Numerators as per given numbers 296/41, 643/39, 724/21 is

GCF of Numerators i.e. for 296,643,724 is 1

LCM of denominators i.e. for 41,39,21 is 11193.

Thus, GCF of Fractions is 1/11193.Finally, GCF of Fractions for 296/41, 643/39, 724/21 is 1/11193.