Greatest Common Factor of 212/82, 9309/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 212/82, 9309/331

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 212/82,9309/331

Given fractions are 212/82,9309/331

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 212,9309

Greatest Common Factor of Numerators i.e. GCF of 212,9309 is 1 .

LCM of Denominators means LCM of 82,331 as per the given fractions.

LCM of 82,331 is 27142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 212,9309

GCF of Fractions 212/82,9309/331 is 1/27142

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 212,9309 By Matching Biggest Common Factor Method

Greatest Common Factor of 212,9309 By Matching Biggest Common Factor Method

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 9309

List of positive integer factors of 9309 that divides 9309 without a remainder.

1,3,29,87,107,321,3103,9309

Greatest Common Factor

We found the factors 212,9309 . The biggest common factor number is the GCF number.
So the greatest common factor 212,9309 is 1.

Lets's calculate LCM of 82,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 27142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27142

Therefore, the GCF of Fractions 212/82,9309/331 is 1/27142

Least Common Multiple of 82,331 with GCF Formula

Least Common Multiple of 82,331 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 82,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,331) = 1

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

GCF(82,331) x common factors =1 x 1 = 1

LCM(82,331) = ( 82 × 331 ) / 1

LCM(82,331) = 27142 / 1

LCM(82,331) = 27142


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 212/82, 9309/331

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 212/82, 9309/331?

Answer: GCF of Numerators as per given numbers 212/82, 9309/331 is

GCF of Numerators i.e. for 212,9309 is 1

LCM of denominators i.e. for 82,331 is 27142.

Thus, GCF of Fractions is 1/27142.Finally, GCF of Fractions for 212/82, 9309/331 is 1/27142.