Greatest Common Factor of 82/960, 280/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 82/960, 280/113

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 82/960,280/113

Given fractions are 82/960,280/113

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 82,280

Greatest Common Factor of Numerators i.e. GCF of 82,280 is 2 .

LCM of Denominators means LCM of 960,113 as per the given fractions.

LCM of 960,113 is 108480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 82,280

GCF of Fractions 82/960,280/113 is 2/108480

2 82, 280
41, 140

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 82,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,280 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 82,280 . The biggest common factor number is the GCF number.
So the greatest common factor 82,280 is 2.

Lets's calculate LCM of 960,113

Given numbers has no common factors except 1. So, there LCM is their product i.e 108480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108480

Therefore, the GCF of Fractions 82/960,280/113 is 2/108480

Least Common Multiple of 960,113 with GCF Formula

Least Common Multiple of 960,113 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 960,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,113) = 1

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

GCF(960,113) x common factors =1 x 1 = 1

LCM(960,113) = ( 960 × 113 ) / 1

LCM(960,113) = 108480 / 1

LCM(960,113) = 108480


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 82/960, 280/113

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 82/960, 280/113?

Answer: GCF of Numerators as per given numbers 82/960, 280/113 is

GCF of Numerators i.e. for 82,280 is 2

LCM of denominators i.e. for 960,113 is 108480.

Thus, GCF of Fractions is 2/108480.Finally, GCF of Fractions for 82/960, 280/113 is 2/108480.