Greatest Common Factor of 7425/27, 4131/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7425/27, 4131/585

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 7425/27,4131/585

Given fractions are 7425/27,4131/585

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 7425,4131

Greatest Common Factor of Numerators i.e. GCF of 7425,4131 is 27 .

LCM of Denominators means LCM of 27,585 as per the given fractions.

LCM of 27,585 is 1755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7425,4131

GCF of Fractions 7425/27,4131/585 is 27/1755

3 7425, 4131
3 2475, 1377
3 825, 459
275, 153

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 7425,4131 By Matching Biggest Common Factor Method

Greatest Common Factor of 7425,4131 By Matching Biggest Common Factor Method

Factors of 7425

List of positive integer factors of 7425 that divides 7425 without a remainder.

1,3,5,9,11,15,25,27,33,45,55,75,99,135,165,225,275,297,495,675,825,1485,2475,7425

Factors of 4131

List of positive integer factors of 4131 that divides 4131 without a remainder.

1,3,9,17,27,51,81,153,243,459,1377,4131

Greatest Common Factor

We found the factors 7425,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 7425,4131 is 27.

Lets's calculate LCM of 27,585

3 27, 585
3 9, 195
3, 65

∴ So the LCM of the given numbers is 3 x 3 x 3 x 65 = 1755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/1755

Therefore, the GCF of Fractions 7425/27,4131/585 is 27/1755

Least Common Multiple of 27,585 with GCF Formula

Least Common Multiple of 27,585 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 27,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,585) = 9

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

GCF(27,585) x common factors =9 x 1 = 9

LCM(27,585) = ( 27 × 585 ) / 9

LCM(27,585) = 15795 / 9

LCM(27,585) = 1755


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 7425/27, 4131/585

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 7425/27, 4131/585?

Answer: GCF of Numerators as per given numbers 7425/27, 4131/585 is

GCF of Numerators i.e. for 7425,4131 is 27

LCM of denominators i.e. for 27,585 is 1755.

Thus, GCF of Fractions is 27/1755.Finally, GCF of Fractions for 7425/27, 4131/585 is 27/1755.