Greatest Common Factor of 483/91, 9156/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 483/91, 9156/966

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 483/91,9156/966

Given fractions are 483/91,9156/966

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 483,9156

Greatest Common Factor of Numerators i.e. GCF of 483,9156 is 21 .

LCM of Denominators means LCM of 91,966 as per the given fractions.

LCM of 91,966 is 12558 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 483,9156

GCF of Fractions 483/91,9156/966 is 21/12558

3 483, 9156
7 161, 3052
23, 436

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 483,9156 By Matching Biggest Common Factor Method

Greatest Common Factor of 483,9156 By Matching Biggest Common Factor Method

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Factors of 9156

List of positive integer factors of 9156 that divides 9156 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156

Greatest Common Factor

We found the factors 483,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 483,9156 is 21.

Lets's calculate LCM of 91,966

7 91, 966
13, 138

∴ So the LCM of the given numbers is 7 x 13 x 138 = 12558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/12558

Therefore, the GCF of Fractions 483/91,9156/966 is 21/12558

Least Common Multiple of 91,966 with GCF Formula

Least Common Multiple of 91,966 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 91,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,966) = 7

common factors(in case of two or more numbers have common factors) = 1

GCF(91,966) x common factors =7 x 1 = 7

LCM(91,966) = ( 91 × 966 ) / 7

LCM(91,966) = 87906 / 7

LCM(91,966) = 12558


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 483/91, 9156/966

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 483/91, 9156/966?

Answer: GCF of Numerators as per given numbers 483/91, 9156/966 is

GCF of Numerators i.e. for 483,9156 is 21

LCM of denominators i.e. for 91,966 is 12558.

Thus, GCF of Fractions is 21/12558.Finally, GCF of Fractions for 483/91, 9156/966 is 21/12558.