Greatest Common Factor of 65/132, 58/583, 501/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/132, 58/583, 501/212

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 65/132,58/583,501/212

Given fractions are 65/132,58/583,501/212

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 65,58,501

Greatest Common Factor of Numerators i.e. GCF of 65,58,501 is 1 .

LCM of Denominators means LCM of 132,583,212 as per the given fractions.

LCM of 132,583,212 is 6996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,58,501

GCF of Fractions 65/132,58/583,501/212 is 1/6996

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

Greatest Common Factor of 65,58,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,58,501 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 65,58,501 . The biggest common factor number is the GCF number.
So the greatest common factor 65,58,501 is 1.

Lets's calculate LCM of 132,583,212

2 132, 583, 212
2 66, 583, 106
11 33, 583, 53
53 3, 53, 53
3, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 11 x 53 x 3 x 1 x 1 = 6996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6996

Therefore, the GCF of Fractions 65/132,58/583,501/212 is 1/6996

Least Common Multiple of 132,583,212 with GCF Formula

Least Common Multiple of 132,583,212 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 132,583,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,583,212) = 1

common factors(in case of two or more numbers have common factors) = 2332

GCF(132,583,212) x common factors =1 x 2332 = 2332

LCM(132,583,212) = ( 132 × 583 × 212 ) / 2332

LCM(132,583,212) = 16314672 / 2332

LCM(132,583,212) = 6996


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 65/132, 58/583, 501/212

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 65/132, 58/583, 501/212?

Answer: GCF of Numerators as per given numbers 65/132, 58/583, 501/212 is

GCF of Numerators i.e. for 65,58,501 is 1

LCM of denominators i.e. for 132,583,212 is 6996.

Thus, GCF of Fractions is 1/6996.Finally, GCF of Fractions for 65/132, 58/583, 501/212 is 1/6996.