Greatest Common Factor of 2712/846, 7127/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2712/846, 7127/107

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 2712/846,7127/107

Given fractions are 2712/846,7127/107

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 2712,7127

Greatest Common Factor of Numerators i.e. GCF of 2712,7127 is 1 .

LCM of Denominators means LCM of 846,107 as per the given fractions.

LCM of 846,107 is 90522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2712,7127

GCF of Fractions 2712/846,7127/107 is 1/90522

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

Greatest Common Factor of 2712,7127 By Matching Biggest Common Factor Method

Greatest Common Factor of 2712,7127 By Matching Biggest Common Factor Method

Factors of 2712

List of positive integer factors of 2712 that divides 2712 without a remainder.

1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712

Factors of 7127

List of positive integer factors of 7127 that divides 7127 without a remainder.

1,7127

Greatest Common Factor

We found the factors 2712,7127 . The biggest common factor number is the GCF number.
So the greatest common factor 2712,7127 is 1.

Lets's calculate LCM of 846,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 90522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/90522

Therefore, the GCF of Fractions 2712/846,7127/107 is 1/90522

Least Common Multiple of 846,107 with GCF Formula

Least Common Multiple of 846,107 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 846,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,107) = 1

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

GCF(846,107) x common factors =1 x 1 = 1

LCM(846,107) = ( 846 × 107 ) / 1

LCM(846,107) = 90522 / 1

LCM(846,107) = 90522


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 2712/846, 7127/107

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 2712/846, 7127/107?

Answer: GCF of Numerators as per given numbers 2712/846, 7127/107 is

GCF of Numerators i.e. for 2712,7127 is 1

LCM of denominators i.e. for 846,107 is 90522.

Thus, GCF of Fractions is 1/90522.Finally, GCF of Fractions for 2712/846, 7127/107 is 1/90522.