Greatest Common Factor of 396/121, 588/960, 542/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/121, 588/960, 542/189

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 396/121,588/960,542/189

Given fractions are 396/121,588/960,542/189

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 396,588,542

Greatest Common Factor of Numerators i.e. GCF of 396,588,542 is 2 .

LCM of Denominators means LCM of 121,960,189 as per the given fractions.

LCM of 121,960,189 is 7318080 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,588,542

GCF of Fractions 396/121,588/960,542/189 is 2/7318080

2 396, 588, 542
198, 294, 271

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

Greatest Common Factor of 396,588,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,588,542 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Greatest Common Factor

We found the factors 396,588,542 . The biggest common factor number is the GCF number.
So the greatest common factor 396,588,542 is 2.

Lets's calculate LCM of 121,960,189

3 121, 960, 189
121, 320, 63

∴ So the LCM of the given numbers is 3 x 121 x 320 x 63 = 7318080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7318080

Therefore, the GCF of Fractions 396/121,588/960,542/189 is 2/7318080

Least Common Multiple of 121,960,189 with GCF Formula

Least Common Multiple of 121,960,189 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 121,960,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,960,189) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(121,960,189) x common factors =1 x 3 = 3

LCM(121,960,189) = ( 121 × 960 × 189 ) / 3

LCM(121,960,189) = 21954240 / 3

LCM(121,960,189) = 7318080


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 396/121, 588/960, 542/189

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 396/121, 588/960, 542/189?

Answer: GCF of Numerators as per given numbers 396/121, 588/960, 542/189 is

GCF of Numerators i.e. for 396,588,542 is 2

LCM of denominators i.e. for 121,960,189 is 7318080.

Thus, GCF of Fractions is 2/7318080.Finally, GCF of Fractions for 396/121, 588/960, 542/189 is 2/7318080.