Greatest Common Factor of 3124/725, 2126/8957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3124/725, 2126/8957

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 3124/725,2126/8957

Given fractions are 3124/725,2126/8957

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 3124,2126

Greatest Common Factor of Numerators i.e. GCF of 3124,2126 is 2 .

LCM of Denominators means LCM of 725,8957 as per the given fractions.

LCM of 725,8957 is 6493825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3124,2126

GCF of Fractions 3124/725,2126/8957 is 2/6493825

2 3124, 2126
1562, 1063

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

Greatest Common Factor of 3124,2126 By Matching Biggest Common Factor Method

Greatest Common Factor of 3124,2126 By Matching Biggest Common Factor Method

Factors of 3124

List of positive integer factors of 3124 that divides 3124 without a remainder.

1,2,4,11,22,44,71,142,284,781,1562,3124

Factors of 2126

List of positive integer factors of 2126 that divides 2126 without a remainder.

1,2,1063,2126

Greatest Common Factor

We found the factors 3124,2126 . The biggest common factor number is the GCF number.
So the greatest common factor 3124,2126 is 2.

Lets's calculate LCM of 725,8957

Given numbers has no common factors except 1. So, there LCM is their product i.e 6493825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6493825

Therefore, the GCF of Fractions 3124/725,2126/8957 is 2/6493825

Least Common Multiple of 725,8957 with GCF Formula

Least Common Multiple of 725,8957 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 725,8957 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,8957) = 1

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

GCF(725,8957) x common factors =1 x 1 = 1

LCM(725,8957) = ( 725 × 8957 ) / 1

LCM(725,8957) = 6493825 / 1

LCM(725,8957) = 6493825


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 3124/725, 2126/8957

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 3124/725, 2126/8957?

Answer: GCF of Numerators as per given numbers 3124/725, 2126/8957 is

GCF of Numerators i.e. for 3124,2126 is 2

LCM of denominators i.e. for 725,8957 is 6493825.

Thus, GCF of Fractions is 2/6493825.Finally, GCF of Fractions for 3124/725, 2126/8957 is 2/6493825.