Greatest Common Factor of 9164/460, 9032/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9164/460, 9032/323

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 9164/460,9032/323

Given fractions are 9164/460,9032/323

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 9164,9032

Greatest Common Factor of Numerators i.e. GCF of 9164,9032 is 4 .

LCM of Denominators means LCM of 460,323 as per the given fractions.

LCM of 460,323 is 148580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9164,9032

GCF of Fractions 9164/460,9032/323 is 4/148580

2 9164, 9032
2 4582, 4516
2291, 2258

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9164,9032 By Matching Biggest Common Factor Method

Greatest Common Factor of 9164,9032 By Matching Biggest Common Factor Method

Factors of 9164

List of positive integer factors of 9164 that divides 9164 without a remainder.

1,2,4,29,58,79,116,158,316,2291,4582,9164

Factors of 9032

List of positive integer factors of 9032 that divides 9032 without a remainder.

1,2,4,8,1129,2258,4516,9032

Greatest Common Factor

We found the factors 9164,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 9164,9032 is 4.

Lets's calculate LCM of 460,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 148580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/148580

Therefore, the GCF of Fractions 9164/460,9032/323 is 4/148580

Least Common Multiple of 460,323 with GCF Formula

Least Common Multiple of 460,323 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 460,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,323) = 1

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

GCF(460,323) x common factors =1 x 1 = 1

LCM(460,323) = ( 460 × 323 ) / 1

LCM(460,323) = 148580 / 1

LCM(460,323) = 148580


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 9164/460, 9032/323

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 9164/460, 9032/323?

Answer: GCF of Numerators as per given numbers 9164/460, 9032/323 is

GCF of Numerators i.e. for 9164,9032 is 4

LCM of denominators i.e. for 460,323 is 148580.

Thus, GCF of Fractions is 4/148580.Finally, GCF of Fractions for 9164/460, 9032/323 is 4/148580.