Greatest Common Factor of 7746/12, 4129/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7746/12, 4129/743

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 7746/12,4129/743

Given fractions are 7746/12,4129/743

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 7746,4129

Greatest Common Factor of Numerators i.e. GCF of 7746,4129 is 1 .

LCM of Denominators means LCM of 12,743 as per the given fractions.

LCM of 12,743 is 8916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7746,4129

GCF of Fractions 7746/12,4129/743 is 1/8916

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

Greatest Common Factor of 7746,4129 By Matching Biggest Common Factor Method

Greatest Common Factor of 7746,4129 By Matching Biggest Common Factor Method

Factors of 7746

List of positive integer factors of 7746 that divides 7746 without a remainder.

1,2,3,6,1291,2582,3873,7746

Factors of 4129

List of positive integer factors of 4129 that divides 4129 without a remainder.

1,4129

Greatest Common Factor

We found the factors 7746,4129 . The biggest common factor number is the GCF number.
So the greatest common factor 7746,4129 is 1.

Lets's calculate LCM of 12,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 8916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8916

Therefore, the GCF of Fractions 7746/12,4129/743 is 1/8916

Least Common Multiple of 12,743 with GCF Formula

Least Common Multiple of 12,743 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 12,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,743) = 1

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

GCF(12,743) x common factors =1 x 1 = 1

LCM(12,743) = ( 12 × 743 ) / 1

LCM(12,743) = 8916 / 1

LCM(12,743) = 8916


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 7746/12, 4129/743

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 7746/12, 4129/743?

Answer: GCF of Numerators as per given numbers 7746/12, 4129/743 is

GCF of Numerators i.e. for 7746,4129 is 1

LCM of denominators i.e. for 12,743 is 8916.

Thus, GCF of Fractions is 1/8916.Finally, GCF of Fractions for 7746/12, 4129/743 is 1/8916.