Greatest Common Factor of 135/69, 853/31, 856/37

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/69, 853/31, 856/37

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 135/69,853/31,856/37

Given fractions are 135/69,853/31,856/37

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 135,853,856

Greatest Common Factor of Numerators i.e. GCF of 135,853,856 is 1 .

LCM of Denominators means LCM of 69,31,37 as per the given fractions.

LCM of 69,31,37 is 79143 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,853,856

GCF of Fractions 135/69,853/31,856/37 is 1/79143

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

Greatest Common Factor of 135,853,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,853,856 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 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 135,853,856 . The biggest common factor number is the GCF number.
So the greatest common factor 135,853,856 is 1.

Lets's calculate LCM of 69,31,37

Given numbers has no common factors except 1. So, there LCM is their product i.e 79143

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79143

Therefore, the GCF of Fractions 135/69,853/31,856/37 is 1/79143

Least Common Multiple of 69,31,37 with GCF Formula

Least Common Multiple of 69,31,37 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 69,31,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,31,37) = 1

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

GCF(69,31,37) x common factors =1 x 1 = 1

LCM(69,31,37) = ( 69 × 31 × 37 ) / 1

LCM(69,31,37) = 79143 / 1

LCM(69,31,37) = 79143


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 135/69, 853/31, 856/37

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 135/69, 853/31, 856/37?

Answer: GCF of Numerators as per given numbers 135/69, 853/31, 856/37 is

GCF of Numerators i.e. for 135,853,856 is 1

LCM of denominators i.e. for 69,31,37 is 79143.

Thus, GCF of Fractions is 1/79143.Finally, GCF of Fractions for 135/69, 853/31, 856/37 is 1/79143.