Greatest Common Factor of 18/464, 5889/9093

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 18/464, 5889/9093

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 18/464,5889/9093

Given fractions are 18/464,5889/9093

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 18,5889

Greatest Common Factor of Numerators i.e. GCF of 18,5889 is 3 .

LCM of Denominators means LCM of 464,9093 as per the given fractions.

LCM of 464,9093 is 4219152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 18,5889

GCF of Fractions 18/464,5889/9093 is 3/4219152

3 18, 5889
6, 1963

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

Greatest Common Factor of 18,5889 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,5889 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 5889

List of positive integer factors of 5889 that divides 5889 without a remainder.

1,3,13,39,151,453,1963,5889

Greatest Common Factor

We found the factors 18,5889 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5889 is 3.

Lets's calculate LCM of 464,9093

Given numbers has no common factors except 1. So, there LCM is their product i.e 4219152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4219152

Therefore, the GCF of Fractions 18/464,5889/9093 is 3/4219152

Least Common Multiple of 464,9093 with GCF Formula

Least Common Multiple of 464,9093 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 464,9093 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,9093) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(464,9093) x common factors =1 x 1 = 1

LCM(464,9093) = ( 464 × 9093 ) / 1

LCM(464,9093) = 4219152 / 1

LCM(464,9093) = 4219152


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 18/464, 5889/9093

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 18/464, 5889/9093?

Answer: GCF of Numerators as per given numbers 18/464, 5889/9093 is

GCF of Numerators i.e. for 18,5889 is 3

LCM of denominators i.e. for 464,9093 is 4219152.

Thus, GCF of Fractions is 3/4219152.Finally, GCF of Fractions for 18/464, 5889/9093 is 3/4219152.