Greatest Common Factor of 7404/254, 2620/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7404/254, 2620/956

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 7404/254,2620/956

Given fractions are 7404/254,2620/956

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 7404,2620

Greatest Common Factor of Numerators i.e. GCF of 7404,2620 is 4 .

LCM of Denominators means LCM of 254,956 as per the given fractions.

LCM of 254,956 is 121412 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7404,2620

GCF of Fractions 7404/254,2620/956 is 4/121412

2 7404, 2620
2 3702, 1310
1851, 655

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7404,2620 By Matching Biggest Common Factor Method

Greatest Common Factor of 7404,2620 By Matching Biggest Common Factor Method

Factors of 7404

List of positive integer factors of 7404 that divides 7404 without a remainder.

1,2,3,4,6,12,617,1234,1851,2468,3702,7404

Factors of 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1,2,4,5,10,20,131,262,524,655,1310,2620

Greatest Common Factor

We found the factors 7404,2620 . The biggest common factor number is the GCF number.
So the greatest common factor 7404,2620 is 4.

Lets's calculate LCM of 254,956

2 254, 956
127, 478

∴ So the LCM of the given numbers is 2 x 127 x 478 = 121412

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/121412

Therefore, the GCF of Fractions 7404/254,2620/956 is 4/121412

Least Common Multiple of 254,956 with GCF Formula

Least Common Multiple of 254,956 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 254,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,956) = 2

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

GCF(254,956) x common factors =2 x 1 = 2

LCM(254,956) = ( 254 × 956 ) / 2

LCM(254,956) = 242824 / 2

LCM(254,956) = 121412


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 7404/254, 2620/956

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 7404/254, 2620/956?

Answer: GCF of Numerators as per given numbers 7404/254, 2620/956 is

GCF of Numerators i.e. for 7404,2620 is 4

LCM of denominators i.e. for 254,956 is 121412.

Thus, GCF of Fractions is 4/121412.Finally, GCF of Fractions for 7404/254, 2620/956 is 4/121412.