Greatest Common Factor of 9115/540, 3240/7986

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9115/540, 3240/7986

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 9115/540,3240/7986

Given fractions are 9115/540,3240/7986

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 9115,3240

Greatest Common Factor of Numerators i.e. GCF of 9115,3240 is 5 .

LCM of Denominators means LCM of 540,7986 as per the given fractions.

LCM of 540,7986 is 718740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9115,3240

GCF of Fractions 9115/540,3240/7986 is 5/718740

5 9115, 3240
1823, 648

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

Greatest Common Factor of 9115,3240 By Matching Biggest Common Factor Method

Greatest Common Factor of 9115,3240 By Matching Biggest Common Factor Method

Factors of 9115

List of positive integer factors of 9115 that divides 9115 without a remainder.

1,5,1823,9115

Factors of 3240

List of positive integer factors of 3240 that divides 3240 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,27,30,36,40,45,54,60,72,81,90,108,120,135,162,180,216,270,324,360,405,540,648,810,1080,1620,3240

Greatest Common Factor

We found the factors 9115,3240 . The biggest common factor number is the GCF number.
So the greatest common factor 9115,3240 is 5.

Lets's calculate LCM of 540,7986

2 540, 7986
3 270, 3993
90, 1331

∴ So the LCM of the given numbers is 2 x 3 x 90 x 1331 = 718740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/718740

Therefore, the GCF of Fractions 9115/540,3240/7986 is 5/718740

Least Common Multiple of 540,7986 with GCF Formula

Least Common Multiple of 540,7986 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 540,7986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,7986) = 6

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

GCF(540,7986) x common factors =6 x 1 = 6

LCM(540,7986) = ( 540 × 7986 ) / 6

LCM(540,7986) = 4312440 / 6

LCM(540,7986) = 718740


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 9115/540, 3240/7986

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 9115/540, 3240/7986?

Answer: GCF of Numerators as per given numbers 9115/540, 3240/7986 is

GCF of Numerators i.e. for 9115,3240 is 5

LCM of denominators i.e. for 540,7986 is 718740.

Thus, GCF of Fractions is 5/718740.Finally, GCF of Fractions for 9115/540, 3240/7986 is 5/718740.