Greatest Common Factor of 204/144, 9836/3072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/144, 9836/3072

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 204/144,9836/3072

Given fractions are 204/144,9836/3072

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 204,9836

Greatest Common Factor of Numerators i.e. GCF of 204,9836 is 4 .

LCM of Denominators means LCM of 144,3072 as per the given fractions.

LCM of 144,3072 is 9216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,9836

GCF of Fractions 204/144,9836/3072 is 4/9216

2 204, 9836
2 102, 4918
51, 2459

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 204,9836 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,9836 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1,2,4,2459,4918,9836

Greatest Common Factor

We found the factors 204,9836 . The biggest common factor number is the GCF number.
So the greatest common factor 204,9836 is 4.

Lets's calculate LCM of 144,3072

2 144, 3072
2 72, 1536
2 36, 768
2 18, 384
3 9, 192
3, 64

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 64 = 9216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9216

Therefore, the GCF of Fractions 204/144,9836/3072 is 4/9216

Least Common Multiple of 144,3072 with GCF Formula

Least Common Multiple of 144,3072 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 144,3072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,3072) = 48

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

GCF(144,3072) x common factors =48 x 1 = 48

LCM(144,3072) = ( 144 × 3072 ) / 48

LCM(144,3072) = 442368 / 48

LCM(144,3072) = 9216


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 204/144, 9836/3072

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 204/144, 9836/3072?

Answer: GCF of Numerators as per given numbers 204/144, 9836/3072 is

GCF of Numerators i.e. for 204,9836 is 4

LCM of denominators i.e. for 144,3072 is 9216.

Thus, GCF of Fractions is 4/9216.Finally, GCF of Fractions for 204/144, 9836/3072 is 4/9216.