Greatest Common Factor of 2116/81, 9290/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2116/81, 9290/960

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 2116/81,9290/960

Given fractions are 2116/81,9290/960

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 2116,9290

Greatest Common Factor of Numerators i.e. GCF of 2116,9290 is 2 .

LCM of Denominators means LCM of 81,960 as per the given fractions.

LCM of 81,960 is 25920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2116,9290

GCF of Fractions 2116/81,9290/960 is 2/25920

2 2116, 9290
1058, 4645

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

Greatest Common Factor of 2116,9290 By Matching Biggest Common Factor Method

Greatest Common Factor of 2116,9290 By Matching Biggest Common Factor Method

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

Factors of 9290

List of positive integer factors of 9290 that divides 9290 without a remainder.

1,2,5,10,929,1858,4645,9290

Greatest Common Factor

We found the factors 2116,9290 . The biggest common factor number is the GCF number.
So the greatest common factor 2116,9290 is 2.

Lets's calculate LCM of 81,960

3 81, 960
27, 320

∴ So the LCM of the given numbers is 3 x 27 x 320 = 25920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25920

Therefore, the GCF of Fractions 2116/81,9290/960 is 2/25920

Least Common Multiple of 81,960 with GCF Formula

Least Common Multiple of 81,960 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 81,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,960) = 3

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

GCF(81,960) x common factors =3 x 1 = 3

LCM(81,960) = ( 81 × 960 ) / 3

LCM(81,960) = 77760 / 3

LCM(81,960) = 25920


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 2116/81, 9290/960

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 2116/81, 9290/960?

Answer: GCF of Numerators as per given numbers 2116/81, 9290/960 is

GCF of Numerators i.e. for 2116,9290 is 2

LCM of denominators i.e. for 81,960 is 25920.

Thus, GCF of Fractions is 2/25920.Finally, GCF of Fractions for 2116/81, 9290/960 is 2/25920.