Greatest Common Factor of 501/12, 334/5937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 501/12, 334/5937

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 501/12,334/5937

Given fractions are 501/12,334/5937

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 501,334

Greatest Common Factor of Numerators i.e. GCF of 501,334 is 167 .

LCM of Denominators means LCM of 12,5937 as per the given fractions.

LCM of 12,5937 is 23748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 501,334

GCF of Fractions 501/12,334/5937 is 167/23748

167 501, 334
3, 2

∴ So the GCF of the given numbers is 167 = 167

Greatest Common Factor of 501,334 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,334 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 334

List of positive integer factors of 334 that divides 334 without a remainder.

1,2,167,334

Greatest Common Factor

We found the factors 501,334 . The biggest common factor number is the GCF number.
So the greatest common factor 501,334 is 167.

Lets's calculate LCM of 12,5937

3 12, 5937
4, 1979

∴ So the LCM of the given numbers is 3 x 4 x 1979 = 23748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 167/23748

Therefore, the GCF of Fractions 501/12,334/5937 is 167/23748

Least Common Multiple of 12,5937 with GCF Formula

Least Common Multiple of 12,5937 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 12,5937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,5937) = 3

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

GCF(12,5937) x common factors =3 x 1 = 3

LCM(12,5937) = ( 12 × 5937 ) / 3

LCM(12,5937) = 71244 / 3

LCM(12,5937) = 23748


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 501/12, 334/5937

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 501/12, 334/5937?

Answer: GCF of Numerators as per given numbers 501/12, 334/5937 is

GCF of Numerators i.e. for 501,334 is 167

LCM of denominators i.e. for 12,5937 is 23748.

Thus, GCF of Fractions is 167/23748.Finally, GCF of Fractions for 501/12, 334/5937 is 167/23748.