Greatest Common Factor of 356/910, 8936/6150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 356/910, 8936/6150

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 356/910,8936/6150

Given fractions are 356/910,8936/6150

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 356,8936

Greatest Common Factor of Numerators i.e. GCF of 356,8936 is 4 .

LCM of Denominators means LCM of 910,6150 as per the given fractions.

LCM of 910,6150 is 559650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 356,8936

GCF of Fractions 356/910,8936/6150 is 4/559650

2 356, 8936
2 178, 4468
89, 2234

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

Greatest Common Factor of 356,8936 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,8936 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 8936

List of positive integer factors of 8936 that divides 8936 without a remainder.

1,2,4,8,1117,2234,4468,8936

Greatest Common Factor

We found the factors 356,8936 . The biggest common factor number is the GCF number.
So the greatest common factor 356,8936 is 4.

Lets's calculate LCM of 910,6150

2 910, 6150
5 455, 3075
91, 615

∴ So the LCM of the given numbers is 2 x 5 x 91 x 615 = 559650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/559650

Therefore, the GCF of Fractions 356/910,8936/6150 is 4/559650

Least Common Multiple of 910,6150 with GCF Formula

Least Common Multiple of 910,6150 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 910,6150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,6150) = 10

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

GCF(910,6150) x common factors =10 x 1 = 10

LCM(910,6150) = ( 910 × 6150 ) / 10

LCM(910,6150) = 5596500 / 10

LCM(910,6150) = 559650


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 356/910, 8936/6150

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 356/910, 8936/6150?

Answer: GCF of Numerators as per given numbers 356/910, 8936/6150 is

GCF of Numerators i.e. for 356,8936 is 4

LCM of denominators i.e. for 910,6150 is 559650.

Thus, GCF of Fractions is 4/559650.Finally, GCF of Fractions for 356/910, 8936/6150 is 4/559650.