Greatest Common Factor of 13/75, 39/150, 78/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 13/75, 39/150, 78/135

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 13/75,39/150,78/135

Given fractions are 13/75,39/150,78/135

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 13,39,78

Greatest Common Factor of Numerators i.e. GCF of 13,39,78 is 13 .

LCM of Denominators means LCM of 75,150,135 as per the given fractions.

LCM of 75,150,135 is 1350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,39,78

GCF of Fractions 13/75,39/150,78/135 is 13/1350

13 13, 39, 78
1, 3, 6

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 13,39,78 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,39,78 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Greatest Common Factor

We found the factors 13,39,78 . The biggest common factor number is the GCF number.
So the greatest common factor 13,39,78 is 13.


Lets's calculate LCM of 75,150,135

3 75, 150, 135
5 25, 50, 45
5 5, 10, 9
1, 2, 9

∴ So the LCM of the given numbers is 3 x 5 x 5 x 1 x 2 x 9 = 1350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1350

Therefore, the GCF of Fractions 13/75,39/150,78/135 is 13/1350

Least Common Multiple of 75,150,135 with GCF Formula

Least Common Multiple of 75,150,135 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 75,150,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,150,135) = 15

common factors(in case of two or more numbers have common factors) = 75

GCF(75,150,135) x common factors =15 x 75 = 1125

LCM(75,150,135) = ( 75 × 150 × 135 ) / 1125

LCM(75,150,135) = 1518750 / 1125

LCM(75,150,135) = 1350


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 13/75, 39/150, 78/135

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 13/75, 39/150, 78/135?

Answer: GCF of Numerators as per given numbers 13/75, 39/150, 78/135 is

GCF of Numerators i.e. for 13,39,78 is 13

LCM of denominators i.e. for 75,150,135 is 1350.

Thus, GCF of Fractions is 13/1350.Finally, GCF of Fractions for 13/75, 39/150, 78/135 is 13/1350.