Greatest Common Factor of 7158/378, 6158/7474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7158/378, 6158/7474

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 7158/378,6158/7474

Given fractions are 7158/378,6158/7474

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 7158,6158

Greatest Common Factor of Numerators i.e. GCF of 7158,6158 is 2 .

LCM of Denominators means LCM of 378,7474 as per the given fractions.

LCM of 378,7474 is 1412586 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7158,6158

GCF of Fractions 7158/378,6158/7474 is 2/1412586

2 7158, 6158
3579, 3079

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

Greatest Common Factor of 7158,6158 By Matching Biggest Common Factor Method

Greatest Common Factor of 7158,6158 By Matching Biggest Common Factor Method

Factors of 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1,2,3,6,1193,2386,3579,7158

Factors of 6158

List of positive integer factors of 6158 that divides 6158 without a remainder.

1,2,3079,6158

Greatest Common Factor

We found the factors 7158,6158 . The biggest common factor number is the GCF number.
So the greatest common factor 7158,6158 is 2.

Lets's calculate LCM of 378,7474

2 378, 7474
189, 3737

∴ So the LCM of the given numbers is 2 x 189 x 3737 = 1412586

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1412586

Therefore, the GCF of Fractions 7158/378,6158/7474 is 2/1412586

Least Common Multiple of 378,7474 with GCF Formula

Least Common Multiple of 378,7474 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 378,7474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,7474) = 2

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

GCF(378,7474) x common factors =2 x 1 = 2

LCM(378,7474) = ( 378 × 7474 ) / 2

LCM(378,7474) = 2825172 / 2

LCM(378,7474) = 1412586


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 7158/378, 6158/7474

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 7158/378, 6158/7474?

Answer: GCF of Numerators as per given numbers 7158/378, 6158/7474 is

GCF of Numerators i.e. for 7158,6158 is 2

LCM of denominators i.e. for 378,7474 is 1412586.

Thus, GCF of Fractions is 2/1412586.Finally, GCF of Fractions for 7158/378, 6158/7474 is 2/1412586.