Greatest Common Factor of 7418/556, 7648/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7418/556, 7648/258

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 7418/556,7648/258

Given fractions are 7418/556,7648/258

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 7418,7648

Greatest Common Factor of Numerators i.e. GCF of 7418,7648 is 2 .

LCM of Denominators means LCM of 556,258 as per the given fractions.

LCM of 556,258 is 71724 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7418,7648

GCF of Fractions 7418/556,7648/258 is 2/71724

2 7418, 7648
3709, 3824

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

Greatest Common Factor of 7418,7648 By Matching Biggest Common Factor Method

Greatest Common Factor of 7418,7648 By Matching Biggest Common Factor Method

Factors of 7418

List of positive integer factors of 7418 that divides 7418 without a remainder.

1,2,3709,7418

Factors of 7648

List of positive integer factors of 7648 that divides 7648 without a remainder.

1,2,4,8,16,32,239,478,956,1912,3824,7648

Greatest Common Factor

We found the factors 7418,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 7418,7648 is 2.

Lets's calculate LCM of 556,258

2 556, 258
278, 129

∴ So the LCM of the given numbers is 2 x 278 x 129 = 71724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71724

Therefore, the GCF of Fractions 7418/556,7648/258 is 2/71724

Least Common Multiple of 556,258 with GCF Formula

Least Common Multiple of 556,258 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 556,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(556,258) = 2

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

GCF(556,258) x common factors =2 x 1 = 2

LCM(556,258) = ( 556 × 258 ) / 2

LCM(556,258) = 143448 / 2

LCM(556,258) = 71724


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 7418/556, 7648/258

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 7418/556, 7648/258?

Answer: GCF of Numerators as per given numbers 7418/556, 7648/258 is

GCF of Numerators i.e. for 7418,7648 is 2

LCM of denominators i.e. for 556,258 is 71724.

Thus, GCF of Fractions is 2/71724.Finally, GCF of Fractions for 7418/556, 7648/258 is 2/71724.