Greatest Common Factor of 81/94, 42/53, 309/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/94, 42/53, 309/420

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 81/94,42/53,309/420

Given fractions are 81/94,42/53,309/420

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 81,42,309

Greatest Common Factor of Numerators i.e. GCF of 81,42,309 is 3 .

LCM of Denominators means LCM of 94,53,420 as per the given fractions.

LCM of 94,53,420 is 1046220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,42,309

GCF of Fractions 81/94,42/53,309/420 is 3/1046220

3 81, 42, 309
27, 14, 103

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

Greatest Common Factor of 81,42,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,42,309 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 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 81,42,309 . The biggest common factor number is the GCF number.
So the greatest common factor 81,42,309 is 3.

Lets's calculate LCM of 94,53,420

2 94, 53, 420
47, 53, 210

∴ So the LCM of the given numbers is 2 x 47 x 53 x 210 = 1046220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1046220

Therefore, the GCF of Fractions 81/94,42/53,309/420 is 3/1046220

Least Common Multiple of 94,53,420 with GCF Formula

Least Common Multiple of 94,53,420 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 94,53,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,53,420) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(94,53,420) x common factors =1 x 2 = 2

LCM(94,53,420) = ( 94 × 53 × 420 ) / 2

LCM(94,53,420) = 2092440 / 2

LCM(94,53,420) = 1046220


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 81/94, 42/53, 309/420

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 81/94, 42/53, 309/420?

Answer: GCF of Numerators as per given numbers 81/94, 42/53, 309/420 is

GCF of Numerators i.e. for 81,42,309 is 3

LCM of denominators i.e. for 94,53,420 is 1046220.

Thus, GCF of Fractions is 3/1046220.Finally, GCF of Fractions for 81/94, 42/53, 309/420 is 3/1046220.