Greatest Common Factor of 195/282, 7535/2180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/282, 7535/2180

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 195/282,7535/2180

Given fractions are 195/282,7535/2180

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 195,7535

Greatest Common Factor of Numerators i.e. GCF of 195,7535 is 5 .

LCM of Denominators means LCM of 282,2180 as per the given fractions.

LCM of 282,2180 is 307380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,7535

GCF of Fractions 195/282,7535/2180 is 5/307380

5 195, 7535
39, 1507

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

Greatest Common Factor of 195,7535 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,7535 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 7535

List of positive integer factors of 7535 that divides 7535 without a remainder.

1,5,11,55,137,685,1507,7535

Greatest Common Factor

We found the factors 195,7535 . The biggest common factor number is the GCF number.
So the greatest common factor 195,7535 is 5.

Lets's calculate LCM of 282,2180

2 282, 2180
141, 1090

∴ So the LCM of the given numbers is 2 x 141 x 1090 = 307380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/307380

Therefore, the GCF of Fractions 195/282,7535/2180 is 5/307380

Least Common Multiple of 282,2180 with GCF Formula

Least Common Multiple of 282,2180 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 282,2180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,2180) = 2

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

GCF(282,2180) x common factors =2 x 1 = 2

LCM(282,2180) = ( 282 × 2180 ) / 2

LCM(282,2180) = 614760 / 2

LCM(282,2180) = 307380


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 195/282, 7535/2180

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 195/282, 7535/2180?

Answer: GCF of Numerators as per given numbers 195/282, 7535/2180 is

GCF of Numerators i.e. for 195,7535 is 5

LCM of denominators i.e. for 282,2180 is 307380.

Thus, GCF of Fractions is 5/307380.Finally, GCF of Fractions for 195/282, 7535/2180 is 5/307380.