Greatest Common Factor of 282/75, 715/85, 256/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 282/75, 715/85, 256/720

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 282/75,715/85,256/720

Given fractions are 282/75,715/85,256/720

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 282,715,256

Greatest Common Factor of Numerators i.e. GCF of 282,715,256 is 1 .

LCM of Denominators means LCM of 75,85,720 as per the given fractions.

LCM of 75,85,720 is 61200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 282,715,256

GCF of Fractions 282/75,715/85,256/720 is 1/61200

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

Greatest Common Factor of 282,715,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 282,715,256 By Matching Biggest Common Factor Method

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 282,715,256 . The biggest common factor number is the GCF number.
So the greatest common factor 282,715,256 is 1.

Lets's calculate LCM of 75,85,720

3 75, 85, 720
5 25, 85, 240
5, 17, 48

∴ So the LCM of the given numbers is 3 x 5 x 5 x 17 x 48 = 61200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61200

Therefore, the GCF of Fractions 282/75,715/85,256/720 is 1/61200

Least Common Multiple of 75,85,720 with GCF Formula

Least Common Multiple of 75,85,720 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 75,85,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,85,720) = 5

common factors(in case of two or more numbers have common factors) = 15

GCF(75,85,720) x common factors =5 x 15 = 75

LCM(75,85,720) = ( 75 × 85 × 720 ) / 75

LCM(75,85,720) = 4590000 / 75

LCM(75,85,720) = 61200


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 282/75, 715/85, 256/720

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 282/75, 715/85, 256/720?

Answer: GCF of Numerators as per given numbers 282/75, 715/85, 256/720 is

GCF of Numerators i.e. for 282,715,256 is 1

LCM of denominators i.e. for 75,85,720 is 61200.

Thus, GCF of Fractions is 1/61200.Finally, GCF of Fractions for 282/75, 715/85, 256/720 is 1/61200.