Greatest Common Factor of 4311/659, 9270/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4311/659, 9270/872

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 4311/659,9270/872

Given fractions are 4311/659,9270/872

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 4311,9270

Greatest Common Factor of Numerators i.e. GCF of 4311,9270 is 9 .

LCM of Denominators means LCM of 659,872 as per the given fractions.

LCM of 659,872 is 574648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4311,9270

GCF of Fractions 4311/659,9270/872 is 9/574648

3 4311, 9270
3 1437, 3090
479, 1030

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 4311,9270 By Matching Biggest Common Factor Method

Greatest Common Factor of 4311,9270 By Matching Biggest Common Factor Method

Factors of 4311

List of positive integer factors of 4311 that divides 4311 without a remainder.

1,3,9,479,1437,4311

Factors of 9270

List of positive integer factors of 9270 that divides 9270 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90,103,206,309,515,618,927,1030,1545,1854,3090,4635,9270

Greatest Common Factor

We found the factors 4311,9270 . The biggest common factor number is the GCF number.
So the greatest common factor 4311,9270 is 9.

Lets's calculate LCM of 659,872

Given numbers has no common factors except 1. So, there LCM is their product i.e 574648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/574648

Therefore, the GCF of Fractions 4311/659,9270/872 is 9/574648

Least Common Multiple of 659,872 with GCF Formula

Least Common Multiple of 659,872 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 659,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(659,872) = 1

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

GCF(659,872) x common factors =1 x 1 = 1

LCM(659,872) = ( 659 × 872 ) / 1

LCM(659,872) = 574648 / 1

LCM(659,872) = 574648


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 4311/659, 9270/872

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 4311/659, 9270/872?

Answer: GCF of Numerators as per given numbers 4311/659, 9270/872 is

GCF of Numerators i.e. for 4311,9270 is 9

LCM of denominators i.e. for 659,872 is 574648.

Thus, GCF of Fractions is 9/574648.Finally, GCF of Fractions for 4311/659, 9270/872 is 9/574648.