Greatest Common Factor of 7180/75, 6617/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7180/75, 6617/117

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 7180/75,6617/117

Given fractions are 7180/75,6617/117

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 7180,6617

Greatest Common Factor of Numerators i.e. GCF of 7180,6617 is 1 .

LCM of Denominators means LCM of 75,117 as per the given fractions.

LCM of 75,117 is 2925 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7180,6617

GCF of Fractions 7180/75,6617/117 is 1/2925

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

Greatest Common Factor of 7180,6617 By Matching Biggest Common Factor Method

Greatest Common Factor of 7180,6617 By Matching Biggest Common Factor Method

Factors of 7180

List of positive integer factors of 7180 that divides 7180 without a remainder.

1,2,4,5,10,20,359,718,1436,1795,3590,7180

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1,13,509,6617

Greatest Common Factor

We found the factors 7180,6617 . The biggest common factor number is the GCF number.
So the greatest common factor 7180,6617 is 1.

Lets's calculate LCM of 75,117

3 75, 117
25, 39

∴ So the LCM of the given numbers is 3 x 25 x 39 = 2925

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2925

Therefore, the GCF of Fractions 7180/75,6617/117 is 1/2925

Least Common Multiple of 75,117 with GCF Formula

Least Common Multiple of 75,117 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 75,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,117) = 3

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

GCF(75,117) x common factors =3 x 1 = 3

LCM(75,117) = ( 75 × 117 ) / 3

LCM(75,117) = 8775 / 3

LCM(75,117) = 2925


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 7180/75, 6617/117

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 7180/75, 6617/117?

Answer: GCF of Numerators as per given numbers 7180/75, 6617/117 is

GCF of Numerators i.e. for 7180,6617 is 1

LCM of denominators i.e. for 75,117 is 2925.

Thus, GCF of Fractions is 1/2925.Finally, GCF of Fractions for 7180/75, 6617/117 is 1/2925.