Greatest Common Factor of 7318/501, 2437/2931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7318/501, 2437/2931

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 7318/501,2437/2931

Given fractions are 7318/501,2437/2931

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 7318,2437

Greatest Common Factor of Numerators i.e. GCF of 7318,2437 is 1 .

LCM of Denominators means LCM of 501,2931 as per the given fractions.

LCM of 501,2931 is 489477 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7318,2437

GCF of Fractions 7318/501,2437/2931 is 1/489477

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7318,2437 By Matching Biggest Common Factor Method

Greatest Common Factor of 7318,2437 By Matching Biggest Common Factor Method

Factors of 7318

List of positive integer factors of 7318 that divides 7318 without a remainder.

1,2,3659,7318

Factors of 2437

List of positive integer factors of 2437 that divides 2437 without a remainder.

1,2437

Greatest Common Factor

We found the factors 7318,2437 . The biggest common factor number is the GCF number.
So the greatest common factor 7318,2437 is 1.

Lets's calculate LCM of 501,2931

3 501, 2931
167, 977

∴ So the LCM of the given numbers is 3 x 167 x 977 = 489477

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489477

Therefore, the GCF of Fractions 7318/501,2437/2931 is 1/489477

Least Common Multiple of 501,2931 with GCF Formula

Least Common Multiple of 501,2931 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 501,2931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,2931) = 3

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

GCF(501,2931) x common factors =3 x 1 = 3

LCM(501,2931) = ( 501 × 2931 ) / 3

LCM(501,2931) = 1468431 / 3

LCM(501,2931) = 489477


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 7318/501, 2437/2931

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 7318/501, 2437/2931?

Answer: GCF of Numerators as per given numbers 7318/501, 2437/2931 is

GCF of Numerators i.e. for 7318,2437 is 1

LCM of denominators i.e. for 501,2931 is 489477.

Thus, GCF of Fractions is 1/489477.Finally, GCF of Fractions for 7318/501, 2437/2931 is 1/489477.