Greatest Common Factor of 99/36, 361/54, 477/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 99/36, 361/54, 477/135

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 99/36,361/54,477/135

Given fractions are 99/36,361/54,477/135

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 99,361,477

Greatest Common Factor of Numerators i.e. GCF of 99,361,477 is 1 .

LCM of Denominators means LCM of 36,54,135 as per the given fractions.

LCM of 36,54,135 is 540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 99,361,477

GCF of Fractions 99/36,361/54,477/135 is 1/540

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 99,361,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,361,477 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 99,361,477 . The biggest common factor number is the GCF number.
So the greatest common factor 99,361,477 is 1.

Lets's calculate LCM of 36,54,135

2 36, 54, 135
3 18, 27, 135
3 6, 9, 45
3 2, 3, 15
2, 1, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 2 x 1 x 5 = 540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/540

Therefore, the GCF of Fractions 99/36,361/54,477/135 is 1/540

Least Common Multiple of 36,54,135 with GCF Formula

Least Common Multiple of 36,54,135 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 36,54,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,54,135) = 9

common factors(in case of two or more numbers have common factors) = 54

GCF(36,54,135) x common factors =9 x 54 = 486

LCM(36,54,135) = ( 36 × 54 × 135 ) / 486

LCM(36,54,135) = 262440 / 486

LCM(36,54,135) = 540


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 99/36, 361/54, 477/135

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 99/36, 361/54, 477/135?

Answer: GCF of Numerators as per given numbers 99/36, 361/54, 477/135 is

GCF of Numerators i.e. for 99,361,477 is 1

LCM of denominators i.e. for 36,54,135 is 540.

Thus, GCF of Fractions is 1/540.Finally, GCF of Fractions for 99/36, 361/54, 477/135 is 1/540.