Greatest Common Factor of 75/92, 65/16, 715/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/92, 65/16, 715/854

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 75/92,65/16,715/854

Given fractions are 75/92,65/16,715/854

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 75,65,715

Greatest Common Factor of Numerators i.e. GCF of 75,65,715 is 5 .

LCM of Denominators means LCM of 92,16,854 as per the given fractions.

LCM of 92,16,854 is 157136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,65,715

GCF of Fractions 75/92,65/16,715/854 is 5/157136

5 75, 65, 715
15, 13, 143

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 75,65,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,65,715 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 65

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

1,5,13,65

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 75,65,715 . The biggest common factor number is the GCF number.
So the greatest common factor 75,65,715 is 5.

Lets's calculate LCM of 92,16,854

2 92, 16, 854
2 46, 8, 427
23, 4, 427

∴ So the LCM of the given numbers is 2 x 2 x 23 x 4 x 427 = 157136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/157136

Therefore, the GCF of Fractions 75/92,65/16,715/854 is 5/157136

Least Common Multiple of 92,16,854 with GCF Formula

Least Common Multiple of 92,16,854 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 92,16,854 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,16,854) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(92,16,854) x common factors =2 x 4 = 8

LCM(92,16,854) = ( 92 × 16 × 854 ) / 8

LCM(92,16,854) = 1257088 / 8

LCM(92,16,854) = 157136


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 75/92, 65/16, 715/854

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 75/92, 65/16, 715/854?

Answer: GCF of Numerators as per given numbers 75/92, 65/16, 715/854 is

GCF of Numerators i.e. for 75,65,715 is 5

LCM of denominators i.e. for 92,16,854 is 157136.

Thus, GCF of Fractions is 5/157136.Finally, GCF of Fractions for 75/92, 65/16, 715/854 is 5/157136.