Greatest Common Factor of 634/300, 9517/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 634/300, 9517/135

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 634/300,9517/135

Given fractions are 634/300,9517/135

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 634,9517

Greatest Common Factor of Numerators i.e. GCF of 634,9517 is 1 .

LCM of Denominators means LCM of 300,135 as per the given fractions.

LCM of 300,135 is 2700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 634,9517

GCF of Fractions 634/300,9517/135 is 1/2700

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

Greatest Common Factor of 634,9517 By Matching Biggest Common Factor Method

Greatest Common Factor of 634,9517 By Matching Biggest Common Factor Method

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 9517

List of positive integer factors of 9517 that divides 9517 without a remainder.

1,31,307,9517

Greatest Common Factor

We found the factors 634,9517 . The biggest common factor number is the GCF number.
So the greatest common factor 634,9517 is 1.

Lets's calculate LCM of 300,135

3 300, 135
5 100, 45
20, 9

∴ So the LCM of the given numbers is 3 x 5 x 20 x 9 = 2700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2700

Therefore, the GCF of Fractions 634/300,9517/135 is 1/2700

Least Common Multiple of 300,135 with GCF Formula

Least Common Multiple of 300,135 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 300,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,135) = 15

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

GCF(300,135) x common factors =15 x 1 = 15

LCM(300,135) = ( 300 × 135 ) / 15

LCM(300,135) = 40500 / 15

LCM(300,135) = 2700


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 634/300, 9517/135

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 634/300, 9517/135?

Answer: GCF of Numerators as per given numbers 634/300, 9517/135 is

GCF of Numerators i.e. for 634,9517 is 1

LCM of denominators i.e. for 300,135 is 2700.

Thus, GCF of Fractions is 1/2700.Finally, GCF of Fractions for 634/300, 9517/135 is 1/2700.