Greatest Common Factor of 2135/75, 3918/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2135/75, 3918/442

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 2135/75,3918/442

Given fractions are 2135/75,3918/442

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 2135,3918

Greatest Common Factor of Numerators i.e. GCF of 2135,3918 is 1 .

LCM of Denominators means LCM of 75,442 as per the given fractions.

LCM of 75,442 is 33150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2135,3918

GCF of Fractions 2135/75,3918/442 is 1/33150

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

Greatest Common Factor of 2135,3918 By Matching Biggest Common Factor Method

Greatest Common Factor of 2135,3918 By Matching Biggest Common Factor Method

Factors of 2135

List of positive integer factors of 2135 that divides 2135 without a remainder.

1,5,7,35,61,305,427,2135

Factors of 3918

List of positive integer factors of 3918 that divides 3918 without a remainder.

1,2,3,6,653,1306,1959,3918

Greatest Common Factor

We found the factors 2135,3918 . The biggest common factor number is the GCF number.
So the greatest common factor 2135,3918 is 1.

Lets's calculate LCM of 75,442

Given numbers has no common factors except 1. So, there LCM is their product i.e 33150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33150

Therefore, the GCF of Fractions 2135/75,3918/442 is 1/33150

Least Common Multiple of 75,442 with GCF Formula

Least Common Multiple of 75,442 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 75,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,442) = 1

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

GCF(75,442) x common factors =1 x 1 = 1

LCM(75,442) = ( 75 × 442 ) / 1

LCM(75,442) = 33150 / 1

LCM(75,442) = 33150


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 2135/75, 3918/442

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 2135/75, 3918/442?

Answer: GCF of Numerators as per given numbers 2135/75, 3918/442 is

GCF of Numerators i.e. for 2135,3918 is 1

LCM of denominators i.e. for 75,442 is 33150.

Thus, GCF of Fractions is 1/33150.Finally, GCF of Fractions for 2135/75, 3918/442 is 1/33150.