Greatest Common Factor of 459/92, 3204/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 459/92, 3204/872

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 459/92,3204/872

Given fractions are 459/92,3204/872

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 459,3204

Greatest Common Factor of Numerators i.e. GCF of 459,3204 is 9 .

LCM of Denominators means LCM of 92,872 as per the given fractions.

LCM of 92,872 is 20056 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 459,3204

GCF of Fractions 459/92,3204/872 is 9/20056

3 459, 3204
3 153, 1068
51, 356

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 459,3204 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,3204 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 3204

List of positive integer factors of 3204 that divides 3204 without a remainder.

1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204

Greatest Common Factor

We found the factors 459,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 459,3204 is 9.

Lets's calculate LCM of 92,872

2 92, 872
2 46, 436
23, 218

∴ So the LCM of the given numbers is 2 x 2 x 23 x 218 = 20056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/20056

Therefore, the GCF of Fractions 459/92,3204/872 is 9/20056

Least Common Multiple of 92,872 with GCF Formula

Least Common Multiple of 92,872 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 92,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,872) = 4

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

GCF(92,872) x common factors =4 x 1 = 4

LCM(92,872) = ( 92 × 872 ) / 4

LCM(92,872) = 80224 / 4

LCM(92,872) = 20056


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 459/92, 3204/872

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 459/92, 3204/872?

Answer: GCF of Numerators as per given numbers 459/92, 3204/872 is

GCF of Numerators i.e. for 459,3204 is 9

LCM of denominators i.e. for 92,872 is 20056.

Thus, GCF of Fractions is 9/20056.Finally, GCF of Fractions for 459/92, 3204/872 is 9/20056.