Greatest Common Factor of 3576/27, 7155/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3576/27, 7155/336

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 3576/27,7155/336

Given fractions are 3576/27,7155/336

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 3576,7155

Greatest Common Factor of Numerators i.e. GCF of 3576,7155 is 3 .

LCM of Denominators means LCM of 27,336 as per the given fractions.

LCM of 27,336 is 3024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3576,7155

GCF of Fractions 3576/27,7155/336 is 3/3024

3 3576, 7155
1192, 2385

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

Greatest Common Factor of 3576,7155 By Matching Biggest Common Factor Method

Greatest Common Factor of 3576,7155 By Matching Biggest Common Factor Method

Factors of 3576

List of positive integer factors of 3576 that divides 3576 without a remainder.

1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576

Factors of 7155

List of positive integer factors of 7155 that divides 7155 without a remainder.

1,3,5,9,15,27,45,53,135,159,265,477,795,1431,2385,7155

Greatest Common Factor

We found the factors 3576,7155 . The biggest common factor number is the GCF number.
So the greatest common factor 3576,7155 is 3.

Lets's calculate LCM of 27,336

3 27, 336
9, 112

∴ So the LCM of the given numbers is 3 x 9 x 112 = 3024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3024

Therefore, the GCF of Fractions 3576/27,7155/336 is 3/3024

Least Common Multiple of 27,336 with GCF Formula

Least Common Multiple of 27,336 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 27,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,336) = 3

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

GCF(27,336) x common factors =3 x 1 = 3

LCM(27,336) = ( 27 × 336 ) / 3

LCM(27,336) = 9072 / 3

LCM(27,336) = 3024


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 3576/27, 7155/336

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 3576/27, 7155/336?

Answer: GCF of Numerators as per given numbers 3576/27, 7155/336 is

GCF of Numerators i.e. for 3576,7155 is 3

LCM of denominators i.e. for 27,336 is 3024.

Thus, GCF of Fractions is 3/3024.Finally, GCF of Fractions for 3576/27, 7155/336 is 3/3024.