Greatest Common Factor of 23/812, 322/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/812, 322/331

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 23/812,322/331

Given fractions are 23/812,322/331

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 23,322

Greatest Common Factor of Numerators i.e. GCF of 23,322 is 23 .

LCM of Denominators means LCM of 812,331 as per the given fractions.

LCM of 812,331 is 268772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,322

GCF of Fractions 23/812,322/331 is 23/268772

23 23, 322
1, 14

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 23,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,322 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 23,322 . The biggest common factor number is the GCF number.
So the greatest common factor 23,322 is 23.

Lets's calculate LCM of 812,331

Given numbers has no common factors except 1. So, there LCM is their product i.e 268772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/268772

Therefore, the GCF of Fractions 23/812,322/331 is 23/268772

Least Common Multiple of 812,331 with GCF Formula

Least Common Multiple of 812,331 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 812,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,331) = 1

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

GCF(812,331) x common factors =1 x 1 = 1

LCM(812,331) = ( 812 × 331 ) / 1

LCM(812,331) = 268772 / 1

LCM(812,331) = 268772


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 23/812, 322/331

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 23/812, 322/331?

Answer: GCF of Numerators as per given numbers 23/812, 322/331 is

GCF of Numerators i.e. for 23,322 is 23

LCM of denominators i.e. for 812,331 is 268772.

Thus, GCF of Fractions is 23/268772.Finally, GCF of Fractions for 23/812, 322/331 is 23/268772.