Greatest Common Factor of 81/443, 918/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/443, 918/724

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 81/443,918/724

Given fractions are 81/443,918/724

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 81,918

Greatest Common Factor of Numerators i.e. GCF of 81,918 is 27 .

LCM of Denominators means LCM of 443,724 as per the given fractions.

LCM of 443,724 is 320732 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,918

GCF of Fractions 81/443,918/724 is 27/320732

3 81, 918
3 27, 306
3 9, 102
3, 34

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 81,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,918 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 81,918 . The biggest common factor number is the GCF number.
So the greatest common factor 81,918 is 27.

Lets's calculate LCM of 443,724

Given numbers has no common factors except 1. So, there LCM is their product i.e 320732

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/320732

Therefore, the GCF of Fractions 81/443,918/724 is 27/320732

Least Common Multiple of 443,724 with GCF Formula

Least Common Multiple of 443,724 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 443,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(443,724) = 1

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

GCF(443,724) x common factors =1 x 1 = 1

LCM(443,724) = ( 443 × 724 ) / 1

LCM(443,724) = 320732 / 1

LCM(443,724) = 320732


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 81/443, 918/724

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 81/443, 918/724?

Answer: GCF of Numerators as per given numbers 81/443, 918/724 is

GCF of Numerators i.e. for 81,918 is 27

LCM of denominators i.e. for 443,724 is 320732.

Thus, GCF of Fractions is 27/320732.Finally, GCF of Fractions for 81/443, 918/724 is 27/320732.