Greatest Common Factor of 135/7638, 351/5974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/7638, 351/5974

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 135/7638,351/5974

Given fractions are 135/7638,351/5974

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 135,351

Greatest Common Factor of Numerators i.e. GCF of 135,351 is 27 .

LCM of Denominators means LCM of 7638,5974 as per the given fractions.

LCM of 7638,5974 is 22814706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,351

GCF of Fractions 135/7638,351/5974 is 27/22814706

3 135, 351
3 45, 117
3 15, 39
5, 13

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 135,351 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,351 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 351

List of positive integer factors of 351 that divides 351 without a remainder.

1,3,9,13,27,39,117,351

Greatest Common Factor

We found the factors 135,351 . The biggest common factor number is the GCF number.
So the greatest common factor 135,351 is 27.

Lets's calculate LCM of 7638,5974

2 7638, 5974
3819, 2987

∴ So the LCM of the given numbers is 2 x 3819 x 2987 = 22814706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/22814706

Therefore, the GCF of Fractions 135/7638,351/5974 is 27/22814706

Least Common Multiple of 7638,5974 with GCF Formula

Least Common Multiple of 7638,5974 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 7638,5974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7638,5974) = 2

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

GCF(7638,5974) x common factors =2 x 1 = 2

LCM(7638,5974) = ( 7638 × 5974 ) / 2

LCM(7638,5974) = 45629412 / 2

LCM(7638,5974) = 22814706


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 135/7638, 351/5974

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 135/7638, 351/5974?

Answer: GCF of Numerators as per given numbers 135/7638, 351/5974 is

GCF of Numerators i.e. for 135,351 is 27

LCM of denominators i.e. for 7638,5974 is 22814706.

Thus, GCF of Fractions is 27/22814706.Finally, GCF of Fractions for 135/7638, 351/5974 is 27/22814706.