Greatest Common Factor of 3015/648, 7905/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3015/648, 7905/135

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 3015/648,7905/135

Given fractions are 3015/648,7905/135

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 3015,7905

Greatest Common Factor of Numerators i.e. GCF of 3015,7905 is 15 .

LCM of Denominators means LCM of 648,135 as per the given fractions.

LCM of 648,135 is 3240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3015,7905

GCF of Fractions 3015/648,7905/135 is 15/3240

3 3015, 7905
5 1005, 2635
201, 527

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

Greatest Common Factor of 3015,7905 By Matching Biggest Common Factor Method

Greatest Common Factor of 3015,7905 By Matching Biggest Common Factor Method

Factors of 3015

List of positive integer factors of 3015 that divides 3015 without a remainder.

1,3,5,9,15,45,67,201,335,603,1005,3015

Factors of 7905

List of positive integer factors of 7905 that divides 7905 without a remainder.

1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905

Greatest Common Factor

We found the factors 3015,7905 . The biggest common factor number is the GCF number.
So the greatest common factor 3015,7905 is 15.

Lets's calculate LCM of 648,135

3 648, 135
3 216, 45
3 72, 15
24, 5

∴ So the LCM of the given numbers is 3 x 3 x 3 x 24 x 5 = 3240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3240

Therefore, the GCF of Fractions 3015/648,7905/135 is 15/3240

Least Common Multiple of 648,135 with GCF Formula

Least Common Multiple of 648,135 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 648,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,135) = 27

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

GCF(648,135) x common factors =27 x 1 = 27

LCM(648,135) = ( 648 × 135 ) / 27

LCM(648,135) = 87480 / 27

LCM(648,135) = 3240


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 3015/648, 7905/135

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 3015/648, 7905/135?

Answer: GCF of Numerators as per given numbers 3015/648, 7905/135 is

GCF of Numerators i.e. for 3015,7905 is 15

LCM of denominators i.e. for 648,135 is 3240.

Thus, GCF of Fractions is 15/3240.Finally, GCF of Fractions for 3015/648, 7905/135 is 15/3240.