Greatest Common Factor of 21/89, 382/39, 447/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/89, 382/39, 447/330

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 21/89,382/39,447/330

Given fractions are 21/89,382/39,447/330

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 21,382,447

Greatest Common Factor of Numerators i.e. GCF of 21,382,447 is 1 .

LCM of Denominators means LCM of 89,39,330 as per the given fractions.

LCM of 89,39,330 is 381810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,382,447

GCF of Fractions 21/89,382/39,447/330 is 1/381810

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 21,382,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,382,447 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 21,382,447 . The biggest common factor number is the GCF number.
So the greatest common factor 21,382,447 is 1.

Lets's calculate LCM of 89,39,330

3 89, 39, 330
89, 13, 110

∴ So the LCM of the given numbers is 3 x 89 x 13 x 110 = 381810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/381810

Therefore, the GCF of Fractions 21/89,382/39,447/330 is 1/381810

Least Common Multiple of 89,39,330 with GCF Formula

Least Common Multiple of 89,39,330 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 89,39,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,39,330) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,39,330) x common factors =1 x 3 = 3

LCM(89,39,330) = ( 89 × 39 × 330 ) / 3

LCM(89,39,330) = 1145430 / 3

LCM(89,39,330) = 381810


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 21/89, 382/39, 447/330

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 21/89, 382/39, 447/330?

Answer: GCF of Numerators as per given numbers 21/89, 382/39, 447/330 is

GCF of Numerators i.e. for 21,382,447 is 1

LCM of denominators i.e. for 89,39,330 is 381810.

Thus, GCF of Fractions is 1/381810.Finally, GCF of Fractions for 21/89, 382/39, 447/330 is 1/381810.