Greatest Common Factor of 137/132, 611/495, 636/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 137/132, 611/495, 636/935

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 137/132,611/495,636/935

Given fractions are 137/132,611/495,636/935

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 137,611,636

Greatest Common Factor of Numerators i.e. GCF of 137,611,636 is 1 .

LCM of Denominators means LCM of 132,495,935 as per the given fractions.

LCM of 132,495,935 is 33660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 137,611,636

GCF of Fractions 137/132,611/495,636/935 is 1/33660

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

Greatest Common Factor of 137,611,636 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,611,636 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Greatest Common Factor

We found the factors 137,611,636 . The biggest common factor number is the GCF number.
So the greatest common factor 137,611,636 is 1.

Lets's calculate LCM of 132,495,935

3 132, 495, 935
5 44, 165, 935
11 44, 33, 187
4, 3, 17

∴ So the LCM of the given numbers is 3 x 5 x 11 x 4 x 3 x 17 = 33660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33660

Therefore, the GCF of Fractions 137/132,611/495,636/935 is 1/33660

Least Common Multiple of 132,495,935 with GCF Formula

Least Common Multiple of 132,495,935 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 132,495,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,495,935) = 11

common factors(in case of two or more numbers have common factors) = 165

GCF(132,495,935) x common factors =11 x 165 = 1815

LCM(132,495,935) = ( 132 × 495 × 935 ) / 1815

LCM(132,495,935) = 61092900 / 1815

LCM(132,495,935) = 33660


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 137/132, 611/495, 636/935

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 137/132, 611/495, 636/935?

Answer: GCF of Numerators as per given numbers 137/132, 611/495, 636/935 is

GCF of Numerators i.e. for 137,611,636 is 1

LCM of denominators i.e. for 132,495,935 is 33660.

Thus, GCF of Fractions is 1/33660.Finally, GCF of Fractions for 137/132, 611/495, 636/935 is 1/33660.