Greatest Common Factor of 4375/71, 7091/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4375/71, 7091/715

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 4375/71,7091/715

Given fractions are 4375/71,7091/715

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 4375,7091

Greatest Common Factor of Numerators i.e. GCF of 4375,7091 is 7 .

LCM of Denominators means LCM of 71,715 as per the given fractions.

LCM of 71,715 is 50765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4375,7091

GCF of Fractions 4375/71,7091/715 is 7/50765

7 4375, 7091
625, 1013

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4375,7091 By Matching Biggest Common Factor Method

Greatest Common Factor of 4375,7091 By Matching Biggest Common Factor Method

Factors of 4375

List of positive integer factors of 4375 that divides 4375 without a remainder.

1,5,7,25,35,125,175,625,875,4375

Factors of 7091

List of positive integer factors of 7091 that divides 7091 without a remainder.

1,7,1013,7091

Greatest Common Factor

We found the factors 4375,7091 . The biggest common factor number is the GCF number.
So the greatest common factor 4375,7091 is 7.

Lets's calculate LCM of 71,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 50765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/50765

Therefore, the GCF of Fractions 4375/71,7091/715 is 7/50765

Least Common Multiple of 71,715 with GCF Formula

Least Common Multiple of 71,715 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 71,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,715) = 1

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

GCF(71,715) x common factors =1 x 1 = 1

LCM(71,715) = ( 71 × 715 ) / 1

LCM(71,715) = 50765 / 1

LCM(71,715) = 50765


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 4375/71, 7091/715

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 4375/71, 7091/715?

Answer: GCF of Numerators as per given numbers 4375/71, 7091/715 is

GCF of Numerators i.e. for 4375,7091 is 7

LCM of denominators i.e. for 71,715 is 50765.

Thus, GCF of Fractions is 7/50765.Finally, GCF of Fractions for 4375/71, 7091/715 is 7/50765.