Greatest Common Factor of 2886/540, 7280/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2886/540, 7280/117

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 2886/540,7280/117

Given fractions are 2886/540,7280/117

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 2886,7280

Greatest Common Factor of Numerators i.e. GCF of 2886,7280 is 26 .

LCM of Denominators means LCM of 540,117 as per the given fractions.

LCM of 540,117 is 7020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2886,7280

GCF of Fractions 2886/540,7280/117 is 26/7020

2 2886, 7280
13 1443, 3640
111, 280

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 2886,7280 By Matching Biggest Common Factor Method

Greatest Common Factor of 2886,7280 By Matching Biggest Common Factor Method

Factors of 2886

List of positive integer factors of 2886 that divides 2886 without a remainder.

1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1,2,4,5,7,8,10,13,14,16,20,26,28,35,40,52,56,65,70,80,91,104,112,130,140,182,208,260,280,364,455,520,560,728,910,1040,1456,1820,3640,7280

Greatest Common Factor

We found the factors 2886,7280 . The biggest common factor number is the GCF number.
So the greatest common factor 2886,7280 is 26.

Lets's calculate LCM of 540,117

3 540, 117
3 180, 39
60, 13

∴ So the LCM of the given numbers is 3 x 3 x 60 x 13 = 7020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/7020

Therefore, the GCF of Fractions 2886/540,7280/117 is 26/7020

Least Common Multiple of 540,117 with GCF Formula

Least Common Multiple of 540,117 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 540,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,117) = 9

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

GCF(540,117) x common factors =9 x 1 = 9

LCM(540,117) = ( 540 × 117 ) / 9

LCM(540,117) = 63180 / 9

LCM(540,117) = 7020


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 2886/540, 7280/117

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 2886/540, 7280/117?

Answer: GCF of Numerators as per given numbers 2886/540, 7280/117 is

GCF of Numerators i.e. for 2886,7280 is 26

LCM of denominators i.e. for 540,117 is 7020.

Thus, GCF of Fractions is 26/7020.Finally, GCF of Fractions for 2886/540, 7280/117 is 26/7020.