Greatest Common Factor of 325/36, 2847/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/36, 2847/120

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 325/36,2847/120

Given fractions are 325/36,2847/120

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 325,2847

Greatest Common Factor of Numerators i.e. GCF of 325,2847 is 13 .

LCM of Denominators means LCM of 36,120 as per the given fractions.

LCM of 36,120 is 360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,2847

GCF of Fractions 325/36,2847/120 is 13/360

13 325, 2847
25, 219

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 325,2847 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,2847 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 2847

List of positive integer factors of 2847 that divides 2847 without a remainder.

1,3,13,39,73,219,949,2847

Greatest Common Factor

We found the factors 325,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 325,2847 is 13.

Lets's calculate LCM of 36,120

2 36, 120
2 18, 60
3 9, 30
3, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 = 360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/360

Therefore, the GCF of Fractions 325/36,2847/120 is 13/360

Least Common Multiple of 36,120 with GCF Formula

Least Common Multiple of 36,120 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 36,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,120) = 12

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

GCF(36,120) x common factors =12 x 1 = 12

LCM(36,120) = ( 36 × 120 ) / 12

LCM(36,120) = 4320 / 12

LCM(36,120) = 360


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 325/36, 2847/120

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 325/36, 2847/120?

Answer: GCF of Numerators as per given numbers 325/36, 2847/120 is

GCF of Numerators i.e. for 325,2847 is 13

LCM of denominators i.e. for 36,120 is 360.

Thus, GCF of Fractions is 13/360.Finally, GCF of Fractions for 325/36, 2847/120 is 13/360.