Greatest Common Factor of 9160/507, 5328/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9160/507, 5328/507

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 9160/507,5328/507

Given fractions are 9160/507,5328/507

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 9160,5328

Greatest Common Factor of Numerators i.e. GCF of 9160,5328 is 8 .

LCM of Denominators means LCM of 507,507 as per the given fractions.

LCM of 507,507 is 507 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9160,5328

GCF of Fractions 9160/507,5328/507 is 8/507

2 9160, 5328
2 4580, 2664
2 2290, 1332
1145, 666

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 9160,5328 By Matching Biggest Common Factor Method

Greatest Common Factor of 9160,5328 By Matching Biggest Common Factor Method

Factors of 9160

List of positive integer factors of 9160 that divides 9160 without a remainder.

1,2,4,5,8,10,20,40,229,458,916,1145,1832,2290,4580,9160

Factors of 5328

List of positive integer factors of 5328 that divides 5328 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,37,48,72,74,111,144,148,222,296,333,444,592,666,888,1332,1776,2664,5328

Greatest Common Factor

We found the factors 9160,5328 . The biggest common factor number is the GCF number.
So the greatest common factor 9160,5328 is 8.

Lets's calculate LCM of 507,507

3 507, 507
13 169, 169
13 13, 13
1, 1

∴ So the LCM of the given numbers is 3 x 13 x 13 x 1 x 1 = 507

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/507

Therefore, the GCF of Fractions 9160/507,5328/507 is 8/507

Least Common Multiple of 507,507 with GCF Formula

Least Common Multiple of 507,507 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 507,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,507) = 507

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

GCF(507,507) x common factors =507 x 1 = 507

LCM(507,507) = ( 507 × 507 ) / 507

LCM(507,507) = 257049 / 507

LCM(507,507) = 507


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 9160/507, 5328/507

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 9160/507, 5328/507?

Answer: GCF of Numerators as per given numbers 9160/507, 5328/507 is

GCF of Numerators i.e. for 9160,5328 is 8

LCM of denominators i.e. for 507,507 is 507.

Thus, GCF of Fractions is 8/507.Finally, GCF of Fractions for 9160/507, 5328/507 is 8/507.