Greatest Common Factor of 831/37, 524/29, 197/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 831/37, 524/29, 197/657

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 831/37,524/29,197/657

Given fractions are 831/37,524/29,197/657

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 831,524,197

Greatest Common Factor of Numerators i.e. GCF of 831,524,197 is 1 .

LCM of Denominators means LCM of 37,29,657 as per the given fractions.

LCM of 37,29,657 is 704961 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 831,524,197

GCF of Fractions 831/37,524/29,197/657 is 1/704961

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

Greatest Common Factor of 831,524,197 By Matching Biggest Common Factor Method

Greatest Common Factor of 831,524,197 By Matching Biggest Common Factor Method

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Greatest Common Factor

We found the factors 831,524,197 . The biggest common factor number is the GCF number.
So the greatest common factor 831,524,197 is 1.

Lets's calculate LCM of 37,29,657

Given numbers has no common factors except 1. So, there LCM is their product i.e 704961

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704961

Therefore, the GCF of Fractions 831/37,524/29,197/657 is 1/704961

Least Common Multiple of 37,29,657 with GCF Formula

Least Common Multiple of 37,29,657 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 37,29,657 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,29,657) = 1

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

GCF(37,29,657) x common factors =1 x 1 = 1

LCM(37,29,657) = ( 37 × 29 × 657 ) / 1

LCM(37,29,657) = 704961 / 1

LCM(37,29,657) = 704961


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 831/37, 524/29, 197/657

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 831/37, 524/29, 197/657?

Answer: GCF of Numerators as per given numbers 831/37, 524/29, 197/657 is

GCF of Numerators i.e. for 831,524,197 is 1

LCM of denominators i.e. for 37,29,657 is 704961.

Thus, GCF of Fractions is 1/704961.Finally, GCF of Fractions for 831/37, 524/29, 197/657 is 1/704961.