Greatest Common Factor of 372/692, 531/653, 596/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 372/692, 531/653, 596/936

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 372/692,531/653,596/936

Given fractions are 372/692,531/653,596/936

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 372,531,596

Greatest Common Factor of Numerators i.e. GCF of 372,531,596 is 1 .

LCM of Denominators means LCM of 692,653,936 as per the given fractions.

LCM of 692,653,936 is 105738984 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 372,531,596

GCF of Fractions 372/692,531/653,596/936 is 1/105738984

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

Greatest Common Factor of 372,531,596 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,531,596 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Greatest Common Factor

We found the factors 372,531,596 . The biggest common factor number is the GCF number.
So the greatest common factor 372,531,596 is 1.

Lets's calculate LCM of 692,653,936

2 692, 653, 936
2 346, 653, 468
173, 653, 234

∴ So the LCM of the given numbers is 2 x 2 x 173 x 653 x 234 = 105738984

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105738984

Therefore, the GCF of Fractions 372/692,531/653,596/936 is 1/105738984

Least Common Multiple of 692,653,936 with GCF Formula

Least Common Multiple of 692,653,936 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 692,653,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,653,936) = 1

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

GCF(692,653,936) x common factors =1 x 4 = 4

LCM(692,653,936) = ( 692 × 653 × 936 ) / 4

LCM(692,653,936) = 422955936 / 4

LCM(692,653,936) = 105738984


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 372/692, 531/653, 596/936

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 372/692, 531/653, 596/936?

Answer: GCF of Numerators as per given numbers 372/692, 531/653, 596/936 is

GCF of Numerators i.e. for 372,531,596 is 1

LCM of denominators i.e. for 692,653,936 is 105738984.

Thus, GCF of Fractions is 1/105738984.Finally, GCF of Fractions for 372/692, 531/653, 596/936 is 1/105738984.