Greatest Common Factor of 81/36, 18/42, 834/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/36, 18/42, 834/278

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 81/36,18/42,834/278

Given fractions are 81/36,18/42,834/278

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 81,18,834

Greatest Common Factor of Numerators i.e. GCF of 81,18,834 is 3 .

LCM of Denominators means LCM of 36,42,278 as per the given fractions.

LCM of 36,42,278 is 35028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,18,834

GCF of Fractions 81/36,18/42,834/278 is 3/35028

3 81, 18, 834
27, 6, 278

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

Greatest Common Factor of 81,18,834 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,18,834 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 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Greatest Common Factor

We found the factors 81,18,834 . The biggest common factor number is the GCF number.
So the greatest common factor 81,18,834 is 3.

Lets's calculate LCM of 36,42,278

2 36, 42, 278
3 18, 21, 139
6, 7, 139

∴ So the LCM of the given numbers is 2 x 3 x 6 x 7 x 139 = 35028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35028

Therefore, the GCF of Fractions 81/36,18/42,834/278 is 3/35028

Least Common Multiple of 36,42,278 with GCF Formula

Least Common Multiple of 36,42,278 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 36,42,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,42,278) = 2

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

GCF(36,42,278) x common factors =2 x 6 = 12

LCM(36,42,278) = ( 36 × 42 × 278 ) / 12

LCM(36,42,278) = 420336 / 12

LCM(36,42,278) = 35028


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 81/36, 18/42, 834/278

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 81/36, 18/42, 834/278?

Answer: GCF of Numerators as per given numbers 81/36, 18/42, 834/278 is

GCF of Numerators i.e. for 81,18,834 is 3

LCM of denominators i.e. for 36,42,278 is 35028.

Thus, GCF of Fractions is 3/35028.Finally, GCF of Fractions for 81/36, 18/42, 834/278 is 3/35028.