Greatest Common Factor of 18/27, 464/62, 321/645

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/27, 464/62, 321/645

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 18/27,464/62,321/645

Given fractions are 18/27,464/62,321/645

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 18,464,321

Greatest Common Factor of Numerators i.e. GCF of 18,464,321 is 1 .

LCM of Denominators means LCM of 27,62,645 as per the given fractions.

LCM of 27,62,645 is 359910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,464,321

GCF of Fractions 18/27,464/62,321/645 is 1/359910

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

Greatest Common Factor of 18,464,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,464,321 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 18,464,321 . The biggest common factor number is the GCF number.
So the greatest common factor 18,464,321 is 1.

Lets's calculate LCM of 27,62,645

3 27, 62, 645
9, 62, 215

∴ So the LCM of the given numbers is 3 x 9 x 62 x 215 = 359910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/359910

Therefore, the GCF of Fractions 18/27,464/62,321/645 is 1/359910

Least Common Multiple of 27,62,645 with GCF Formula

Least Common Multiple of 27,62,645 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 27,62,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,62,645) = 1

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

GCF(27,62,645) x common factors =1 x 3 = 3

LCM(27,62,645) = ( 27 × 62 × 645 ) / 3

LCM(27,62,645) = 1079730 / 3

LCM(27,62,645) = 359910


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 18/27, 464/62, 321/645

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 18/27, 464/62, 321/645?

Answer: GCF of Numerators as per given numbers 18/27, 464/62, 321/645 is

GCF of Numerators i.e. for 18,464,321 is 1

LCM of denominators i.e. for 27,62,645 is 359910.

Thus, GCF of Fractions is 1/359910.Finally, GCF of Fractions for 18/27, 464/62, 321/645 is 1/359910.