Greatest Common Factor of 396/364, 144/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 396/364, 144/468

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 396/364,144/468

Given fractions are 396/364,144/468

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 396,144

Greatest Common Factor of Numerators i.e. GCF of 396,144 is 36 .

LCM of Denominators means LCM of 364,468 as per the given fractions.

LCM of 364,468 is 3276 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 396,144

GCF of Fractions 396/364,144/468 is 36/3276

2 396, 144
2 198, 72
3 99, 36
3 33, 12
11, 4

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 396,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,144 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 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 396,144 . The biggest common factor number is the GCF number.
So the greatest common factor 396,144 is 36.

Lets's calculate LCM of 364,468

2 364, 468
2 182, 234
13 91, 117
7, 9

∴ So the LCM of the given numbers is 2 x 2 x 13 x 7 x 9 = 3276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/3276

Therefore, the GCF of Fractions 396/364,144/468 is 36/3276

Least Common Multiple of 364,468 with GCF Formula

Least Common Multiple of 364,468 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 364,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(364,468) = 52

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

GCF(364,468) x common factors =52 x 1 = 52

LCM(364,468) = ( 364 × 468 ) / 52

LCM(364,468) = 170352 / 52

LCM(364,468) = 3276


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 396/364, 144/468

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 396/364, 144/468?

Answer: GCF of Numerators as per given numbers 396/364, 144/468 is

GCF of Numerators i.e. for 396,144 is 36

LCM of denominators i.e. for 364,468 is 3276.

Thus, GCF of Fractions is 36/3276.Finally, GCF of Fractions for 396/364, 144/468 is 36/3276.