Greatest Common Factor of 7124/12, 7742/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7124/12, 7742/715

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 7124/12,7742/715

Given fractions are 7124/12,7742/715

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 7124,7742

Greatest Common Factor of Numerators i.e. GCF of 7124,7742 is 2 .

LCM of Denominators means LCM of 12,715 as per the given fractions.

LCM of 12,715 is 8580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7124,7742

GCF of Fractions 7124/12,7742/715 is 2/8580

2 7124, 7742
3562, 3871

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7124,7742 By Matching Biggest Common Factor Method

Greatest Common Factor of 7124,7742 By Matching Biggest Common Factor Method

Factors of 7124

List of positive integer factors of 7124 that divides 7124 without a remainder.

1,2,4,13,26,52,137,274,548,1781,3562,7124

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Greatest Common Factor

We found the factors 7124,7742 . The biggest common factor number is the GCF number.
So the greatest common factor 7124,7742 is 2.

Lets's calculate LCM of 12,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 8580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8580

Therefore, the GCF of Fractions 7124/12,7742/715 is 2/8580

Least Common Multiple of 12,715 with GCF Formula

Least Common Multiple of 12,715 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 12,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,715) = 1

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

GCF(12,715) x common factors =1 x 1 = 1

LCM(12,715) = ( 12 × 715 ) / 1

LCM(12,715) = 8580 / 1

LCM(12,715) = 8580


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 7124/12, 7742/715

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 7124/12, 7742/715?

Answer: GCF of Numerators as per given numbers 7124/12, 7742/715 is

GCF of Numerators i.e. for 7124,7742 is 2

LCM of denominators i.e. for 12,715 is 8580.

Thus, GCF of Fractions is 2/8580.Finally, GCF of Fractions for 7124/12, 7742/715 is 2/8580.