Greatest Common Factor of 65/132, 286/649

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/132, 286/649

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 65/132,286/649

Given fractions are 65/132,286/649

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 65,286

Greatest Common Factor of Numerators i.e. GCF of 65,286 is 13 .

LCM of Denominators means LCM of 132,649 as per the given fractions.

LCM of 132,649 is 7788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,286

GCF of Fractions 65/132,286/649 is 13/7788

13 65, 286
5, 22

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 65,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,286 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 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 65,286 . The biggest common factor number is the GCF number.
So the greatest common factor 65,286 is 13.

Lets's calculate LCM of 132,649

11 132, 649
12, 59

∴ So the LCM of the given numbers is 11 x 12 x 59 = 7788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7788

Therefore, the GCF of Fractions 65/132,286/649 is 13/7788

Least Common Multiple of 132,649 with GCF Formula

Least Common Multiple of 132,649 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 132,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,649) = 11

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

GCF(132,649) x common factors =11 x 1 = 11

LCM(132,649) = ( 132 × 649 ) / 11

LCM(132,649) = 85668 / 11

LCM(132,649) = 7788


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, 286/649

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, 286/649?

Answer: GCF of Numerators as per given numbers 65/132, 286/649 is

GCF of Numerators i.e. for 65,286 is 13

LCM of denominators i.e. for 132,649 is 7788.

Thus, GCF of Fractions is 13/7788.Finally, GCF of Fractions for 65/132, 286/649 is 13/7788.