Greatest Common Factor of 9093/906, 2931/6461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9093/906, 2931/6461

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 9093/906,2931/6461

Given fractions are 9093/906,2931/6461

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 9093,2931

Greatest Common Factor of Numerators i.e. GCF of 9093,2931 is 3 .

LCM of Denominators means LCM of 906,6461 as per the given fractions.

LCM of 906,6461 is 5853666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9093,2931

GCF of Fractions 9093/906,2931/6461 is 3/5853666

3 9093, 2931
3031, 977

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9093,2931 By Matching Biggest Common Factor Method

Greatest Common Factor of 9093,2931 By Matching Biggest Common Factor Method

Factors of 9093

List of positive integer factors of 9093 that divides 9093 without a remainder.

1,3,7,21,433,1299,3031,9093

Factors of 2931

List of positive integer factors of 2931 that divides 2931 without a remainder.

1,3,977,2931

Greatest Common Factor

We found the factors 9093,2931 . The biggest common factor number is the GCF number.
So the greatest common factor 9093,2931 is 3.

Lets's calculate LCM of 906,6461

Given numbers has no common factors except 1. So, there LCM is their product i.e 5853666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5853666

Therefore, the GCF of Fractions 9093/906,2931/6461 is 3/5853666

Least Common Multiple of 906,6461 with GCF Formula

Least Common Multiple of 906,6461 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 906,6461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,6461) = 1

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

GCF(906,6461) x common factors =1 x 1 = 1

LCM(906,6461) = ( 906 × 6461 ) / 1

LCM(906,6461) = 5853666 / 1

LCM(906,6461) = 5853666


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 9093/906, 2931/6461

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 9093/906, 2931/6461?

Answer: GCF of Numerators as per given numbers 9093/906, 2931/6461 is

GCF of Numerators i.e. for 9093,2931 is 3

LCM of denominators i.e. for 906,6461 is 5853666.

Thus, GCF of Fractions is 3/5853666.Finally, GCF of Fractions for 9093/906, 2931/6461 is 3/5853666.