Greatest Common Factor of 9483/258, 8829/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9483/258, 8829/158

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 9483/258,8829/158

Given fractions are 9483/258,8829/158

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 9483,8829

Greatest Common Factor of Numerators i.e. GCF of 9483,8829 is 327 .

LCM of Denominators means LCM of 258,158 as per the given fractions.

LCM of 258,158 is 20382 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9483,8829

GCF of Fractions 9483/258,8829/158 is 327/20382

3 9483, 8829
109 3161, 2943
29, 27

∴ So the GCF of the given numbers is 3 x 109 = 327

Greatest Common Factor of 9483,8829 By Matching Biggest Common Factor Method

Greatest Common Factor of 9483,8829 By Matching Biggest Common Factor Method

Factors of 9483

List of positive integer factors of 9483 that divides 9483 without a remainder.

1,3,29,87,109,327,3161,9483

Factors of 8829

List of positive integer factors of 8829 that divides 8829 without a remainder.

1,3,9,27,81,109,327,981,2943,8829

Greatest Common Factor

We found the factors 9483,8829 . The biggest common factor number is the GCF number.
So the greatest common factor 9483,8829 is 327.

Lets's calculate LCM of 258,158

2 258, 158
129, 79

∴ So the LCM of the given numbers is 2 x 129 x 79 = 20382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 327/20382

Therefore, the GCF of Fractions 9483/258,8829/158 is 327/20382

Least Common Multiple of 258,158 with GCF Formula

Least Common Multiple of 258,158 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 258,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,158) = 2

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

GCF(258,158) x common factors =2 x 1 = 2

LCM(258,158) = ( 258 × 158 ) / 2

LCM(258,158) = 40764 / 2

LCM(258,158) = 20382


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 9483/258, 8829/158

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 9483/258, 8829/158?

Answer: GCF of Numerators as per given numbers 9483/258, 8829/158 is

GCF of Numerators i.e. for 9483,8829 is 327

LCM of denominators i.e. for 258,158 is 20382.

Thus, GCF of Fractions is 327/20382.Finally, GCF of Fractions for 9483/258, 8829/158 is 327/20382.