Greatest Common Factor of 91/56, 65/473, 650/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 91/56, 65/473, 650/424

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 91/56,65/473,650/424

Given fractions are 91/56,65/473,650/424

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 91,65,650

Greatest Common Factor of Numerators i.e. GCF of 91,65,650 is 13 .

LCM of Denominators means LCM of 56,473,424 as per the given fractions.

LCM of 56,473,424 is 1403864 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 91,65,650

GCF of Fractions 91/56,65/473,650/424 is 13/1403864

13 91, 65, 650
7, 5, 50

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

Greatest Common Factor of 91,65,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,65,650 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 65

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

1,5,13,65

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 91,65,650 . The biggest common factor number is the GCF number.
So the greatest common factor 91,65,650 is 13.

Lets's calculate LCM of 56,473,424

2 56, 473, 424
2 28, 473, 212
2 14, 473, 106
7, 473, 53

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 473 x 53 = 1403864

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1403864

Therefore, the GCF of Fractions 91/56,65/473,650/424 is 13/1403864

Least Common Multiple of 56,473,424 with GCF Formula

Least Common Multiple of 56,473,424 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 56,473,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,473,424) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(56,473,424) x common factors =1 x 8 = 8

LCM(56,473,424) = ( 56 × 473 × 424 ) / 8

LCM(56,473,424) = 11230912 / 8

LCM(56,473,424) = 1403864


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 91/56, 65/473, 650/424

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 91/56, 65/473, 650/424?

Answer: GCF of Numerators as per given numbers 91/56, 65/473, 650/424 is

GCF of Numerators i.e. for 91,65,650 is 13

LCM of denominators i.e. for 56,473,424 is 1403864.

Thus, GCF of Fractions is 13/1403864.Finally, GCF of Fractions for 91/56, 65/473, 650/424 is 13/1403864.