Greatest Common Factor of 2154/478, 7478/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2154/478, 7478/254

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 2154/478,7478/254

Given fractions are 2154/478,7478/254

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 2154,7478

Greatest Common Factor of Numerators i.e. GCF of 2154,7478 is 2 .

LCM of Denominators means LCM of 478,254 as per the given fractions.

LCM of 478,254 is 60706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2154,7478

GCF of Fractions 2154/478,7478/254 is 2/60706

2 2154, 7478
1077, 3739

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

Greatest Common Factor of 2154,7478 By Matching Biggest Common Factor Method

Greatest Common Factor of 2154,7478 By Matching Biggest Common Factor Method

Factors of 2154

List of positive integer factors of 2154 that divides 2154 without a remainder.

1,2,3,6,359,718,1077,2154

Factors of 7478

List of positive integer factors of 7478 that divides 7478 without a remainder.

1,2,3739,7478

Greatest Common Factor

We found the factors 2154,7478 . The biggest common factor number is the GCF number.
So the greatest common factor 2154,7478 is 2.

Lets's calculate LCM of 478,254

2 478, 254
239, 127

∴ So the LCM of the given numbers is 2 x 239 x 127 = 60706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/60706

Therefore, the GCF of Fractions 2154/478,7478/254 is 2/60706

Least Common Multiple of 478,254 with GCF Formula

Least Common Multiple of 478,254 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 478,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,254) = 2

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

GCF(478,254) x common factors =2 x 1 = 2

LCM(478,254) = ( 478 × 254 ) / 2

LCM(478,254) = 121412 / 2

LCM(478,254) = 60706


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 2154/478, 7478/254

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 2154/478, 7478/254?

Answer: GCF of Numerators as per given numbers 2154/478, 7478/254 is

GCF of Numerators i.e. for 2154,7478 is 2

LCM of denominators i.e. for 478,254 is 60706.

Thus, GCF of Fractions is 2/60706.Finally, GCF of Fractions for 2154/478, 7478/254 is 2/60706.