Greatest Common Factor of 75/633, 189/384, 387/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/633, 189/384, 387/818

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 75/633,189/384,387/818

Given fractions are 75/633,189/384,387/818

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 75,189,387

Greatest Common Factor of Numerators i.e. GCF of 75,189,387 is 3 .

LCM of Denominators means LCM of 633,384,818 as per the given fractions.

LCM of 633,384,818 is 33138816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,189,387

GCF of Fractions 75/633,189/384,387/818 is 3/33138816

3 75, 189, 387
25, 63, 129

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

Greatest Common Factor of 75,189,387 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,189,387 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Greatest Common Factor

We found the factors 75,189,387 . The biggest common factor number is the GCF number.
So the greatest common factor 75,189,387 is 3.

Lets's calculate LCM of 633,384,818

2 633, 384, 818
3 633, 192, 409
211, 64, 409

∴ So the LCM of the given numbers is 2 x 3 x 211 x 64 x 409 = 33138816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33138816

Therefore, the GCF of Fractions 75/633,189/384,387/818 is 3/33138816

Least Common Multiple of 633,384,818 with GCF Formula

Least Common Multiple of 633,384,818 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 633,384,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,384,818) = 1

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

GCF(633,384,818) x common factors =1 x 6 = 6

LCM(633,384,818) = ( 633 × 384 × 818 ) / 6

LCM(633,384,818) = 198832896 / 6

LCM(633,384,818) = 33138816


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 75/633, 189/384, 387/818

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 75/633, 189/384, 387/818?

Answer: GCF of Numerators as per given numbers 75/633, 189/384, 387/818 is

GCF of Numerators i.e. for 75,189,387 is 3

LCM of denominators i.e. for 633,384,818 is 33138816.

Thus, GCF of Fractions is 3/33138816.Finally, GCF of Fractions for 75/633, 189/384, 387/818 is 3/33138816.