Greatest Common Factor of 9355/450, 7935/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9355/450, 7935/213

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 9355/450,7935/213

Given fractions are 9355/450,7935/213

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 9355,7935

Greatest Common Factor of Numerators i.e. GCF of 9355,7935 is 5 .

LCM of Denominators means LCM of 450,213 as per the given fractions.

LCM of 450,213 is 31950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9355,7935

GCF of Fractions 9355/450,7935/213 is 5/31950

5 9355, 7935
1871, 1587

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 9355,7935 By Matching Biggest Common Factor Method

Greatest Common Factor of 9355,7935 By Matching Biggest Common Factor Method

Factors of 9355

List of positive integer factors of 9355 that divides 9355 without a remainder.

1,5,1871,9355

Factors of 7935

List of positive integer factors of 7935 that divides 7935 without a remainder.

1,3,5,15,23,69,115,345,529,1587,2645,7935

Greatest Common Factor

We found the factors 9355,7935 . The biggest common factor number is the GCF number.
So the greatest common factor 9355,7935 is 5.

Lets's calculate LCM of 450,213

3 450, 213
150, 71

∴ So the LCM of the given numbers is 3 x 150 x 71 = 31950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31950

Therefore, the GCF of Fractions 9355/450,7935/213 is 5/31950

Least Common Multiple of 450,213 with GCF Formula

Least Common Multiple of 450,213 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 450,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,213) = 3

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

GCF(450,213) x common factors =3 x 1 = 3

LCM(450,213) = ( 450 × 213 ) / 3

LCM(450,213) = 95850 / 3

LCM(450,213) = 31950


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 9355/450, 7935/213

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 9355/450, 7935/213?

Answer: GCF of Numerators as per given numbers 9355/450, 7935/213 is

GCF of Numerators i.e. for 9355,7935 is 5

LCM of denominators i.e. for 450,213 is 31950.

Thus, GCF of Fractions is 5/31950.Finally, GCF of Fractions for 9355/450, 7935/213 is 5/31950.