Greatest Common Factor of 384/22, 375/84, 627/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/22, 375/84, 627/447

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 384/22,375/84,627/447

Given fractions are 384/22,375/84,627/447

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 384,375,627

Greatest Common Factor of Numerators i.e. GCF of 384,375,627 is 3 .

LCM of Denominators means LCM of 22,84,447 as per the given fractions.

LCM of 22,84,447 is 137676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,375,627

GCF of Fractions 384/22,375/84,627/447 is 3/137676

3 384, 375, 627
128, 125, 209

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

Greatest Common Factor of 384,375,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,375,627 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 384,375,627 . The biggest common factor number is the GCF number.
So the greatest common factor 384,375,627 is 3.

Lets's calculate LCM of 22,84,447

2 22, 84, 447
3 11, 42, 447
11, 14, 149

∴ So the LCM of the given numbers is 2 x 3 x 11 x 14 x 149 = 137676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/137676

Therefore, the GCF of Fractions 384/22,375/84,627/447 is 3/137676

Least Common Multiple of 22,84,447 with GCF Formula

Least Common Multiple of 22,84,447 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 22,84,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,84,447) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(22,84,447) x common factors =1 x 6 = 6

LCM(22,84,447) = ( 22 × 84 × 447 ) / 6

LCM(22,84,447) = 826056 / 6

LCM(22,84,447) = 137676


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 384/22, 375/84, 627/447

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 384/22, 375/84, 627/447?

Answer: GCF of Numerators as per given numbers 384/22, 375/84, 627/447 is

GCF of Numerators i.e. for 384,375,627 is 3

LCM of denominators i.e. for 22,84,447 is 137676.

Thus, GCF of Fractions is 3/137676.Finally, GCF of Fractions for 384/22, 375/84, 627/447 is 3/137676.