Greatest Common Factor of 81/218, 18/966, 846/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/218, 18/966, 846/328

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 81/218,18/966,846/328

Given fractions are 81/218,18/966,846/328

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 81,18,846

Greatest Common Factor of Numerators i.e. GCF of 81,18,846 is 9 .

LCM of Denominators means LCM of 218,966,328 as per the given fractions.

LCM of 218,966,328 is 17268216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,18,846

GCF of Fractions 81/218,18/966,846/328 is 9/17268216

3 81, 18, 846
3 27, 6, 282
9, 2, 94

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 81,18,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,18,846 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 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 81,18,846 . The biggest common factor number is the GCF number.
So the greatest common factor 81,18,846 is 9.

Lets's calculate LCM of 218,966,328

2 218, 966, 328
109, 483, 164

∴ So the LCM of the given numbers is 2 x 109 x 483 x 164 = 17268216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/17268216

Therefore, the GCF of Fractions 81/218,18/966,846/328 is 9/17268216

Least Common Multiple of 218,966,328 with GCF Formula

Least Common Multiple of 218,966,328 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 218,966,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,966,328) = 2

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

GCF(218,966,328) x common factors =2 x 2 = 4

LCM(218,966,328) = ( 218 × 966 × 328 ) / 4

LCM(218,966,328) = 69072864 / 4

LCM(218,966,328) = 17268216


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 81/218, 18/966, 846/328

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 81/218, 18/966, 846/328?

Answer: GCF of Numerators as per given numbers 81/218, 18/966, 846/328 is

GCF of Numerators i.e. for 81,18,846 is 9

LCM of denominators i.e. for 218,966,328 is 17268216.

Thus, GCF of Fractions is 9/17268216.Finally, GCF of Fractions for 81/218, 18/966, 846/328 is 9/17268216.