Greatest Common Factor of 3612/636, 6420/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3612/636, 6420/387

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 3612/636,6420/387

Given fractions are 3612/636,6420/387

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 3612,6420

Greatest Common Factor of Numerators i.e. GCF of 3612,6420 is 12 .

LCM of Denominators means LCM of 636,387 as per the given fractions.

LCM of 636,387 is 82044 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3612,6420

GCF of Fractions 3612/636,6420/387 is 12/82044

2 3612, 6420
2 1806, 3210
3 903, 1605
301, 535

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 3612,6420 By Matching Biggest Common Factor Method

Greatest Common Factor of 3612,6420 By Matching Biggest Common Factor Method

Factors of 3612

List of positive integer factors of 3612 that divides 3612 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612

Factors of 6420

List of positive integer factors of 6420 that divides 6420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420

Greatest Common Factor

We found the factors 3612,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 3612,6420 is 12.

Lets's calculate LCM of 636,387

3 636, 387
212, 129

∴ So the LCM of the given numbers is 3 x 212 x 129 = 82044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/82044

Therefore, the GCF of Fractions 3612/636,6420/387 is 12/82044

Least Common Multiple of 636,387 with GCF Formula

Least Common Multiple of 636,387 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 636,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,387) = 3

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

GCF(636,387) x common factors =3 x 1 = 3

LCM(636,387) = ( 636 × 387 ) / 3

LCM(636,387) = 246132 / 3

LCM(636,387) = 82044


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 3612/636, 6420/387

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 3612/636, 6420/387?

Answer: GCF of Numerators as per given numbers 3612/636, 6420/387 is

GCF of Numerators i.e. for 3612,6420 is 12

LCM of denominators i.e. for 636,387 is 82044.

Thus, GCF of Fractions is 12/82044.Finally, GCF of Fractions for 3612/636, 6420/387 is 12/82044.