Greatest Common Factor of 18/30, 77/89, 468/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/30, 77/89, 468/594

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 18/30,77/89,468/594

Given fractions are 18/30,77/89,468/594

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 18,77,468

Greatest Common Factor of Numerators i.e. GCF of 18,77,468 is 1 .

LCM of Denominators means LCM of 30,89,594 as per the given fractions.

LCM of 30,89,594 is 264330 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,77,468

GCF of Fractions 18/30,77/89,468/594 is 1/264330

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

Greatest Common Factor of 18,77,468 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,77,468 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 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Greatest Common Factor

We found the factors 18,77,468 . The biggest common factor number is the GCF number.
So the greatest common factor 18,77,468 is 1.

Lets's calculate LCM of 30,89,594

2 30, 89, 594
3 15, 89, 297
5, 89, 99

∴ So the LCM of the given numbers is 2 x 3 x 5 x 89 x 99 = 264330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264330

Therefore, the GCF of Fractions 18/30,77/89,468/594 is 1/264330

Least Common Multiple of 30,89,594 with GCF Formula

Least Common Multiple of 30,89,594 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 30,89,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,89,594) = 1

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

GCF(30,89,594) x common factors =1 x 6 = 6

LCM(30,89,594) = ( 30 × 89 × 594 ) / 6

LCM(30,89,594) = 1585980 / 6

LCM(30,89,594) = 264330


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 18/30, 77/89, 468/594

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 18/30, 77/89, 468/594?

Answer: GCF of Numerators as per given numbers 18/30, 77/89, 468/594 is

GCF of Numerators i.e. for 18,77,468 is 1

LCM of denominators i.e. for 30,89,594 is 264330.

Thus, GCF of Fractions is 1/264330.Finally, GCF of Fractions for 18/30, 77/89, 468/594 is 1/264330.