Greatest Common Factor of 722/96, 529/42, 939/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 722/96, 529/42, 939/631

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 722/96,529/42,939/631

Given fractions are 722/96,529/42,939/631

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 722,529,939

Greatest Common Factor of Numerators i.e. GCF of 722,529,939 is 1 .

LCM of Denominators means LCM of 96,42,631 as per the given fractions.

LCM of 96,42,631 is 424032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 722,529,939

GCF of Fractions 722/96,529/42,939/631 is 1/424032

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

Greatest Common Factor of 722,529,939 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,529,939 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 939

List of positive integer factors of 939 that divides 939 without a remainder.

1,3,313,939

Greatest Common Factor

We found the factors 722,529,939 . The biggest common factor number is the GCF number.
So the greatest common factor 722,529,939 is 1.

Lets's calculate LCM of 96,42,631

2 96, 42, 631
3 48, 21, 631
16, 7, 631

∴ So the LCM of the given numbers is 2 x 3 x 16 x 7 x 631 = 424032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424032

Therefore, the GCF of Fractions 722/96,529/42,939/631 is 1/424032

Least Common Multiple of 96,42,631 with GCF Formula

Least Common Multiple of 96,42,631 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 96,42,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,42,631) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(96,42,631) x common factors =1 x 6 = 6

LCM(96,42,631) = ( 96 × 42 × 631 ) / 6

LCM(96,42,631) = 2544192 / 6

LCM(96,42,631) = 424032


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 722/96, 529/42, 939/631

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 722/96, 529/42, 939/631?

Answer: GCF of Numerators as per given numbers 722/96, 529/42, 939/631 is

GCF of Numerators i.e. for 722,529,939 is 1

LCM of denominators i.e. for 96,42,631 is 424032.

Thus, GCF of Fractions is 1/424032.Finally, GCF of Fractions for 722/96, 529/42, 939/631 is 1/424032.