Greatest Common Factor of 9138/46, 7478/557

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9138/46, 7478/557

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 9138/46,7478/557

Given fractions are 9138/46,7478/557

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 9138,7478

Greatest Common Factor of Numerators i.e. GCF of 9138,7478 is 2 .

LCM of Denominators means LCM of 46,557 as per the given fractions.

LCM of 46,557 is 25622 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9138,7478

GCF of Fractions 9138/46,7478/557 is 2/25622

2 9138, 7478
4569, 3739

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

Greatest Common Factor of 9138,7478 By Matching Biggest Common Factor Method

Greatest Common Factor of 9138,7478 By Matching Biggest Common Factor Method

Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1,2,3,6,1523,3046,4569,9138

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 9138,7478 . The biggest common factor number is the GCF number.
So the greatest common factor 9138,7478 is 2.

Lets's calculate LCM of 46,557

Given numbers has no common factors except 1. So, there LCM is their product i.e 25622

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25622

Therefore, the GCF of Fractions 9138/46,7478/557 is 2/25622

Least Common Multiple of 46,557 with GCF Formula

Least Common Multiple of 46,557 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 46,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,557) = 1

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

GCF(46,557) x common factors =1 x 1 = 1

LCM(46,557) = ( 46 × 557 ) / 1

LCM(46,557) = 25622 / 1

LCM(46,557) = 25622


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 9138/46, 7478/557

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 9138/46, 7478/557?

Answer: GCF of Numerators as per given numbers 9138/46, 7478/557 is

GCF of Numerators i.e. for 9138,7478 is 2

LCM of denominators i.e. for 46,557 is 25622.

Thus, GCF of Fractions is 2/25622.Finally, GCF of Fractions for 9138/46, 7478/557 is 2/25622.