Greatest Common Factor of 6135/780, 3735/4780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6135/780, 3735/4780

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 6135/780,3735/4780

Given fractions are 6135/780,3735/4780

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 6135,3735

Greatest Common Factor of Numerators i.e. GCF of 6135,3735 is 15 .

LCM of Denominators means LCM of 780,4780 as per the given fractions.

LCM of 780,4780 is 186420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6135,3735

GCF of Fractions 6135/780,3735/4780 is 15/186420

3 6135, 3735
5 2045, 1245
409, 249

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 6135,3735 By Matching Biggest Common Factor Method

Greatest Common Factor of 6135,3735 By Matching Biggest Common Factor Method

Factors of 6135

List of positive integer factors of 6135 that divides 6135 without a remainder.

1,3,5,15,409,1227,2045,6135

Factors of 3735

List of positive integer factors of 3735 that divides 3735 without a remainder.

1,3,5,9,15,45,83,249,415,747,1245,3735

Greatest Common Factor

We found the factors 6135,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 6135,3735 is 15.

Lets's calculate LCM of 780,4780

2 780, 4780
2 390, 2390
5 195, 1195
39, 239

∴ So the LCM of the given numbers is 2 x 2 x 5 x 39 x 239 = 186420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/186420

Therefore, the GCF of Fractions 6135/780,3735/4780 is 15/186420

Least Common Multiple of 780,4780 with GCF Formula

Least Common Multiple of 780,4780 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 780,4780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(780,4780) = 20

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

GCF(780,4780) x common factors =20 x 1 = 20

LCM(780,4780) = ( 780 × 4780 ) / 20

LCM(780,4780) = 3728400 / 20

LCM(780,4780) = 186420


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 6135/780, 3735/4780

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 6135/780, 3735/4780?

Answer: GCF of Numerators as per given numbers 6135/780, 3735/4780 is

GCF of Numerators i.e. for 6135,3735 is 15

LCM of denominators i.e. for 780,4780 is 186420.

Thus, GCF of Fractions is 15/186420.Finally, GCF of Fractions for 6135/780, 3735/4780 is 15/186420.