Greatest Common Factor of 4629/135, 1512/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4629/135, 1512/327

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 4629/135,1512/327

Given fractions are 4629/135,1512/327

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 4629,1512

Greatest Common Factor of Numerators i.e. GCF of 4629,1512 is 3 .

LCM of Denominators means LCM of 135,327 as per the given fractions.

LCM of 135,327 is 14715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4629,1512

GCF of Fractions 4629/135,1512/327 is 3/14715

3 4629, 1512
1543, 504

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

Greatest Common Factor of 4629,1512 By Matching Biggest Common Factor Method

Greatest Common Factor of 4629,1512 By Matching Biggest Common Factor Method

Factors of 4629

List of positive integer factors of 4629 that divides 4629 without a remainder.

1,3,1543,4629

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512

Greatest Common Factor

We found the factors 4629,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 4629,1512 is 3.

Lets's calculate LCM of 135,327

3 135, 327
45, 109

∴ So the LCM of the given numbers is 3 x 45 x 109 = 14715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14715

Therefore, the GCF of Fractions 4629/135,1512/327 is 3/14715

Least Common Multiple of 135,327 with GCF Formula

Least Common Multiple of 135,327 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 135,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,327) = 3

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

GCF(135,327) x common factors =3 x 1 = 3

LCM(135,327) = ( 135 × 327 ) / 3

LCM(135,327) = 44145 / 3

LCM(135,327) = 14715


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 4629/135, 1512/327

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 4629/135, 1512/327?

Answer: GCF of Numerators as per given numbers 4629/135, 1512/327 is

GCF of Numerators i.e. for 4629,1512 is 3

LCM of denominators i.e. for 135,327 is 14715.

Thus, GCF of Fractions is 3/14715.Finally, GCF of Fractions for 4629/135, 1512/327 is 3/14715.