Greatest Common Factor of 81/43, 995/54, 338/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/43, 995/54, 338/492

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 81/43,995/54,338/492

Given fractions are 81/43,995/54,338/492

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 81,995,338

Greatest Common Factor of Numerators i.e. GCF of 81,995,338 is 1 .

LCM of Denominators means LCM of 43,54,492 as per the given fractions.

LCM of 43,54,492 is 190404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,995,338

GCF of Fractions 81/43,995/54,338/492 is 1/190404

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

Greatest Common Factor of 81,995,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,995,338 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 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 81,995,338 . The biggest common factor number is the GCF number.
So the greatest common factor 81,995,338 is 1.

Lets's calculate LCM of 43,54,492

2 43, 54, 492
3 43, 27, 246
43, 9, 82

∴ So the LCM of the given numbers is 2 x 3 x 43 x 9 x 82 = 190404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190404

Therefore, the GCF of Fractions 81/43,995/54,338/492 is 1/190404

Least Common Multiple of 43,54,492 with GCF Formula

Least Common Multiple of 43,54,492 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 43,54,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,54,492) = 1

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

GCF(43,54,492) x common factors =1 x 6 = 6

LCM(43,54,492) = ( 43 × 54 × 492 ) / 6

LCM(43,54,492) = 1142424 / 6

LCM(43,54,492) = 190404


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 81/43, 995/54, 338/492

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 81/43, 995/54, 338/492?

Answer: GCF of Numerators as per given numbers 81/43, 995/54, 338/492 is

GCF of Numerators i.e. for 81,995,338 is 1

LCM of denominators i.e. for 43,54,492 is 190404.

Thus, GCF of Fractions is 1/190404.Finally, GCF of Fractions for 81/43, 995/54, 338/492 is 1/190404.