Greatest Common Factor of 3280/365, 6116/2715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3280/365, 6116/2715

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 3280/365,6116/2715

Given fractions are 3280/365,6116/2715

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 3280,6116

Greatest Common Factor of Numerators i.e. GCF of 3280,6116 is 4 .

LCM of Denominators means LCM of 365,2715 as per the given fractions.

LCM of 365,2715 is 198195 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3280,6116

GCF of Fractions 3280/365,6116/2715 is 4/198195

2 3280, 6116
2 1640, 3058
820, 1529

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3280,6116 By Matching Biggest Common Factor Method

Greatest Common Factor of 3280,6116 By Matching Biggest Common Factor Method

Factors of 3280

List of positive integer factors of 3280 that divides 3280 without a remainder.

1,2,4,5,8,10,16,20,40,41,80,82,164,205,328,410,656,820,1640,3280

Factors of 6116

List of positive integer factors of 6116 that divides 6116 without a remainder.

1,2,4,11,22,44,139,278,556,1529,3058,6116

Greatest Common Factor

We found the factors 3280,6116 . The biggest common factor number is the GCF number.
So the greatest common factor 3280,6116 is 4.

Lets's calculate LCM of 365,2715

5 365, 2715
73, 543

∴ So the LCM of the given numbers is 5 x 73 x 543 = 198195

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/198195

Therefore, the GCF of Fractions 3280/365,6116/2715 is 4/198195

Least Common Multiple of 365,2715 with GCF Formula

Least Common Multiple of 365,2715 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 365,2715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,2715) = 5

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

GCF(365,2715) x common factors =5 x 1 = 5

LCM(365,2715) = ( 365 × 2715 ) / 5

LCM(365,2715) = 990975 / 5

LCM(365,2715) = 198195


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 3280/365, 6116/2715

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 3280/365, 6116/2715?

Answer: GCF of Numerators as per given numbers 3280/365, 6116/2715 is

GCF of Numerators i.e. for 3280,6116 is 4

LCM of denominators i.e. for 365,2715 is 198195.

Thus, GCF of Fractions is 4/198195.Finally, GCF of Fractions for 3280/365, 6116/2715 is 4/198195.