Greatest Common Factor of 732/323, 915/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 732/323, 915/412

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 732/323,915/412

Given fractions are 732/323,915/412

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 732,915

Greatest Common Factor of Numerators i.e. GCF of 732,915 is 183 .

LCM of Denominators means LCM of 323,412 as per the given fractions.

LCM of 323,412 is 133076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 732,915

GCF of Fractions 732/323,915/412 is 183/133076

3 732, 915
61 244, 305
4, 5

∴ So the GCF of the given numbers is 3 x 61 = 183

Greatest Common Factor of 732,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,915 By Matching Biggest Common Factor Method

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 732,915 . The biggest common factor number is the GCF number.
So the greatest common factor 732,915 is 183.

Lets's calculate LCM of 323,412

Given numbers has no common factors except 1. So, there LCM is their product i.e 133076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 183/133076

Therefore, the GCF of Fractions 732/323,915/412 is 183/133076

Least Common Multiple of 323,412 with GCF Formula

Least Common Multiple of 323,412 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 323,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,412) = 1

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

GCF(323,412) x common factors =1 x 1 = 1

LCM(323,412) = ( 323 × 412 ) / 1

LCM(323,412) = 133076 / 1

LCM(323,412) = 133076


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 732/323, 915/412

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 732/323, 915/412?

Answer: GCF of Numerators as per given numbers 732/323, 915/412 is

GCF of Numerators i.e. for 732,915 is 183

LCM of denominators i.e. for 323,412 is 133076.

Thus, GCF of Fractions is 183/133076.Finally, GCF of Fractions for 732/323, 915/412 is 183/133076.