Greatest Common Factor of 721/724, 546/411, 357/544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/724, 546/411, 357/544

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 721/724,546/411,357/544

Given fractions are 721/724,546/411,357/544

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 721,546,357

Greatest Common Factor of Numerators i.e. GCF of 721,546,357 is 7 .

LCM of Denominators means LCM of 724,411,544 as per the given fractions.

LCM of 724,411,544 is 40468704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,546,357

GCF of Fractions 721/724,546/411,357/544 is 7/40468704

7 721, 546, 357
103, 78, 51

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

Greatest Common Factor of 721,546,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,546,357 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 721,546,357 . The biggest common factor number is the GCF number.
So the greatest common factor 721,546,357 is 7.

Lets's calculate LCM of 724,411,544

2 724, 411, 544
2 362, 411, 272
181, 411, 136

∴ So the LCM of the given numbers is 2 x 2 x 181 x 411 x 136 = 40468704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/40468704

Therefore, the GCF of Fractions 721/724,546/411,357/544 is 7/40468704

Least Common Multiple of 724,411,544 with GCF Formula

Least Common Multiple of 724,411,544 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 724,411,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,411,544) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(724,411,544) x common factors =1 x 4 = 4

LCM(724,411,544) = ( 724 × 411 × 544 ) / 4

LCM(724,411,544) = 161874816 / 4

LCM(724,411,544) = 40468704


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 721/724, 546/411, 357/544

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 721/724, 546/411, 357/544?

Answer: GCF of Numerators as per given numbers 721/724, 546/411, 357/544 is

GCF of Numerators i.e. for 721,546,357 is 7

LCM of denominators i.e. for 724,411,544 is 40468704.

Thus, GCF of Fractions is 7/40468704.Finally, GCF of Fractions for 721/724, 546/411, 357/544 is 7/40468704.