Greatest Common Factor of 414/84, 5904/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/84, 5904/432

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 414/84,5904/432

Given fractions are 414/84,5904/432

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 414,5904

Greatest Common Factor of Numerators i.e. GCF of 414,5904 is 18 .

LCM of Denominators means LCM of 84,432 as per the given fractions.

LCM of 84,432 is 3024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,5904

GCF of Fractions 414/84,5904/432 is 18/3024

2 414, 5904
3 207, 2952
3 69, 984
23, 328

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 414,5904 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,5904 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 5904

List of positive integer factors of 5904 that divides 5904 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,41,48,72,82,123,144,164,246,328,369,492,656,738,984,1476,1968,2952,5904

Greatest Common Factor

We found the factors 414,5904 . The biggest common factor number is the GCF number.
So the greatest common factor 414,5904 is 18.

Lets's calculate LCM of 84,432

2 84, 432
2 42, 216
3 21, 108
7, 36

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 36 = 3024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/3024

Therefore, the GCF of Fractions 414/84,5904/432 is 18/3024

Least Common Multiple of 84,432 with GCF Formula

Least Common Multiple of 84,432 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 84,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,432) = 12

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

GCF(84,432) x common factors =12 x 1 = 12

LCM(84,432) = ( 84 × 432 ) / 12

LCM(84,432) = 36288 / 12

LCM(84,432) = 3024


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 414/84, 5904/432

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 414/84, 5904/432?

Answer: GCF of Numerators as per given numbers 414/84, 5904/432 is

GCF of Numerators i.e. for 414,5904 is 18

LCM of denominators i.e. for 84,432 is 3024.

Thus, GCF of Fractions is 18/3024.Finally, GCF of Fractions for 414/84, 5904/432 is 18/3024.