Greatest Common Factor of 7107/180, 9626/5101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7107/180, 9626/5101

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 7107/180,9626/5101

Given fractions are 7107/180,9626/5101

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 7107,9626

Greatest Common Factor of Numerators i.e. GCF of 7107,9626 is 1 .

LCM of Denominators means LCM of 180,5101 as per the given fractions.

LCM of 180,5101 is 918180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7107,9626

GCF of Fractions 7107/180,9626/5101 is 1/918180

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

Greatest Common Factor of 7107,9626 By Matching Biggest Common Factor Method

Greatest Common Factor of 7107,9626 By Matching Biggest Common Factor Method

Factors of 7107

List of positive integer factors of 7107 that divides 7107 without a remainder.

1,3,23,69,103,309,2369,7107

Factors of 9626

List of positive integer factors of 9626 that divides 9626 without a remainder.

1,2,4813,9626

Greatest Common Factor

We found the factors 7107,9626 . The biggest common factor number is the GCF number.
So the greatest common factor 7107,9626 is 1.

Lets's calculate LCM of 180,5101

Given numbers has no common factors except 1. So, there LCM is their product i.e 918180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/918180

Therefore, the GCF of Fractions 7107/180,9626/5101 is 1/918180

Least Common Multiple of 180,5101 with GCF Formula

Least Common Multiple of 180,5101 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 180,5101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,5101) = 1

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

GCF(180,5101) x common factors =1 x 1 = 1

LCM(180,5101) = ( 180 × 5101 ) / 1

LCM(180,5101) = 918180 / 1

LCM(180,5101) = 918180


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 7107/180, 9626/5101

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 7107/180, 9626/5101?

Answer: GCF of Numerators as per given numbers 7107/180, 9626/5101 is

GCF of Numerators i.e. for 7107,9626 is 1

LCM of denominators i.e. for 180,5101 is 918180.

Thus, GCF of Fractions is 1/918180.Finally, GCF of Fractions for 7107/180, 9626/5101 is 1/918180.