Greatest Common Factor of 9502/664, 9918/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9502/664, 9918/507

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 9502/664,9918/507

Given fractions are 9502/664,9918/507

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 9502,9918

Greatest Common Factor of Numerators i.e. GCF of 9502,9918 is 2 .

LCM of Denominators means LCM of 664,507 as per the given fractions.

LCM of 664,507 is 336648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9502,9918

GCF of Fractions 9502/664,9918/507 is 2/336648

2 9502, 9918
4751, 4959

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

Greatest Common Factor of 9502,9918 By Matching Biggest Common Factor Method

Greatest Common Factor of 9502,9918 By Matching Biggest Common Factor Method

Factors of 9502

List of positive integer factors of 9502 that divides 9502 without a remainder.

1,2,4751,9502

Factors of 9918

List of positive integer factors of 9918 that divides 9918 without a remainder.

1,2,3,6,9,18,19,29,38,57,58,87,114,171,174,261,342,522,551,1102,1653,3306,4959,9918

Greatest Common Factor

We found the factors 9502,9918 . The biggest common factor number is the GCF number.
So the greatest common factor 9502,9918 is 2.

Lets's calculate LCM of 664,507

Given numbers has no common factors except 1. So, there LCM is their product i.e 336648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/336648

Therefore, the GCF of Fractions 9502/664,9918/507 is 2/336648

Least Common Multiple of 664,507 with GCF Formula

Least Common Multiple of 664,507 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 664,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(664,507) = 1

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

GCF(664,507) x common factors =1 x 1 = 1

LCM(664,507) = ( 664 × 507 ) / 1

LCM(664,507) = 336648 / 1

LCM(664,507) = 336648


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 9502/664, 9918/507

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 9502/664, 9918/507?

Answer: GCF of Numerators as per given numbers 9502/664, 9918/507 is

GCF of Numerators i.e. for 9502,9918 is 2

LCM of denominators i.e. for 664,507 is 336648.

Thus, GCF of Fractions is 2/336648.Finally, GCF of Fractions for 9502/664, 9918/507 is 2/336648.