Greatest Common Factor of 9212/470, 2132/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9212/470, 2132/732

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 9212/470,2132/732

Given fractions are 9212/470,2132/732

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 9212,2132

Greatest Common Factor of Numerators i.e. GCF of 9212,2132 is 4 .

LCM of Denominators means LCM of 470,732 as per the given fractions.

LCM of 470,732 is 172020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9212,2132

GCF of Fractions 9212/470,2132/732 is 4/172020

2 9212, 2132
2 4606, 1066
2303, 533

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

Greatest Common Factor of 9212,2132 By Matching Biggest Common Factor Method

Greatest Common Factor of 9212,2132 By Matching Biggest Common Factor Method

Factors of 9212

List of positive integer factors of 9212 that divides 9212 without a remainder.

1,2,4,7,14,28,47,49,94,98,188,196,329,658,1316,2303,4606,9212

Factors of 2132

List of positive integer factors of 2132 that divides 2132 without a remainder.

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 9212,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 9212,2132 is 4.

Lets's calculate LCM of 470,732

2 470, 732
235, 366

∴ So the LCM of the given numbers is 2 x 235 x 366 = 172020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/172020

Therefore, the GCF of Fractions 9212/470,2132/732 is 4/172020

Least Common Multiple of 470,732 with GCF Formula

Least Common Multiple of 470,732 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 470,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,732) = 2

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

GCF(470,732) x common factors =2 x 1 = 2

LCM(470,732) = ( 470 × 732 ) / 2

LCM(470,732) = 344040 / 2

LCM(470,732) = 172020


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 9212/470, 2132/732

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 9212/470, 2132/732?

Answer: GCF of Numerators as per given numbers 9212/470, 2132/732 is

GCF of Numerators i.e. for 9212,2132 is 4

LCM of denominators i.e. for 470,732 is 172020.

Thus, GCF of Fractions is 4/172020.Finally, GCF of Fractions for 9212/470, 2132/732 is 4/172020.