Greatest Common Factor of 135/31, 764/40, 785/12

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/31, 764/40, 785/12

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 135/31,764/40,785/12

Given fractions are 135/31,764/40,785/12

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 135,764,785

Greatest Common Factor of Numerators i.e. GCF of 135,764,785 is 1 .

LCM of Denominators means LCM of 31,40,12 as per the given fractions.

LCM of 31,40,12 is 3720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,764,785

GCF of Fractions 135/31,764/40,785/12 is 1/3720

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 135,764,785 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,764,785 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1,5,157,785

Greatest Common Factor

We found the factors 135,764,785 . The biggest common factor number is the GCF number.
So the greatest common factor 135,764,785 is 1.

Lets's calculate LCM of 31,40,12

2 31, 40, 12
2 31, 20, 6
31, 10, 3

∴ So the LCM of the given numbers is 2 x 2 x 31 x 10 x 3 = 3720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3720

Therefore, the GCF of Fractions 135/31,764/40,785/12 is 1/3720

Least Common Multiple of 31,40,12 with GCF Formula

Least Common Multiple of 31,40,12 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 31,40,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,40,12) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(31,40,12) x common factors =1 x 4 = 4

LCM(31,40,12) = ( 31 × 40 × 12 ) / 4

LCM(31,40,12) = 14880 / 4

LCM(31,40,12) = 3720


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 135/31, 764/40, 785/12

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 135/31, 764/40, 785/12?

Answer: GCF of Numerators as per given numbers 135/31, 764/40, 785/12 is

GCF of Numerators i.e. for 135,764,785 is 1

LCM of denominators i.e. for 31,40,12 is 3720.

Thus, GCF of Fractions is 1/3720.Finally, GCF of Fractions for 135/31, 764/40, 785/12 is 1/3720.