Greatest Common Factor of 83/32, 81/36, 165/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 83/32, 81/36, 165/663

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 83/32,81/36,165/663

Given fractions are 83/32,81/36,165/663

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 83,81,165

Greatest Common Factor of Numerators i.e. GCF of 83,81,165 is 1 .

LCM of Denominators means LCM of 32,36,663 as per the given fractions.

LCM of 32,36,663 is 63648 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 83,81,165

GCF of Fractions 83/32,81/36,165/663 is 1/63648

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

Greatest Common Factor of 83,81,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,81,165 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 81

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

1,3,9,27,81

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 83,81,165 . The biggest common factor number is the GCF number.
So the greatest common factor 83,81,165 is 1.

Lets's calculate LCM of 32,36,663

2 32, 36, 663
2 16, 18, 663
3 8, 9, 663
8, 3, 221

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 3 x 221 = 63648

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63648

Therefore, the GCF of Fractions 83/32,81/36,165/663 is 1/63648

Least Common Multiple of 32,36,663 with GCF Formula

Least Common Multiple of 32,36,663 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 32,36,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,36,663) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(32,36,663) x common factors =1 x 12 = 12

LCM(32,36,663) = ( 32 × 36 × 663 ) / 12

LCM(32,36,663) = 763776 / 12

LCM(32,36,663) = 63648


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 83/32, 81/36, 165/663

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 83/32, 81/36, 165/663?

Answer: GCF of Numerators as per given numbers 83/32, 81/36, 165/663 is

GCF of Numerators i.e. for 83,81,165 is 1

LCM of denominators i.e. for 32,36,663 is 63648.

Thus, GCF of Fractions is 1/63648.Finally, GCF of Fractions for 83/32, 81/36, 165/663 is 1/63648.