Greatest Common Factor of 36/132, 597/192, 468/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 36/132, 597/192, 468/565

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 36/132,597/192,468/565

Given fractions are 36/132,597/192,468/565

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 36,597,468

Greatest Common Factor of Numerators i.e. GCF of 36,597,468 is 3 .

LCM of Denominators means LCM of 132,192,565 as per the given fractions.

LCM of 132,192,565 is 1193280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 36,597,468

GCF of Fractions 36/132,597/192,468/565 is 3/1193280

3 36, 597, 468
12, 199, 156

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

Greatest Common Factor of 36,597,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,597,468 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 36,597,468 . The biggest common factor number is the GCF number.
So the greatest common factor 36,597,468 is 3.

Lets's calculate LCM of 132,192,565

2 132, 192, 565
2 66, 96, 565
3 33, 48, 565
11, 16, 565

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 16 x 565 = 1193280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1193280

Therefore, the GCF of Fractions 36/132,597/192,468/565 is 3/1193280

Least Common Multiple of 132,192,565 with GCF Formula

Least Common Multiple of 132,192,565 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 132,192,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,192,565) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(132,192,565) x common factors =1 x 12 = 12

LCM(132,192,565) = ( 132 × 192 × 565 ) / 12

LCM(132,192,565) = 14319360 / 12

LCM(132,192,565) = 1193280


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 36/132, 597/192, 468/565

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 36/132, 597/192, 468/565?

Answer: GCF of Numerators as per given numbers 36/132, 597/192, 468/565 is

GCF of Numerators i.e. for 36,597,468 is 3

LCM of denominators i.e. for 132,192,565 is 1193280.

Thus, GCF of Fractions is 3/1193280.Finally, GCF of Fractions for 36/132, 597/192, 468/565 is 3/1193280.