Greatest Common Factor of 864/312, 2243/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 864/312, 2243/252

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 864/312,2243/252

Given fractions are 864/312,2243/252

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 864,2243

Greatest Common Factor of Numerators i.e. GCF of 864,2243 is 1 .

LCM of Denominators means LCM of 312,252 as per the given fractions.

LCM of 312,252 is 6552 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 864,2243

GCF of Fractions 864/312,2243/252 is 1/6552

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

Greatest Common Factor of 864,2243 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,2243 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1,2243

Greatest Common Factor

We found the factors 864,2243 . The biggest common factor number is the GCF number.
So the greatest common factor 864,2243 is 1.

Lets's calculate LCM of 312,252

2 312, 252
2 156, 126
3 78, 63
26, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 26 x 21 = 6552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6552

Therefore, the GCF of Fractions 864/312,2243/252 is 1/6552

Least Common Multiple of 312,252 with GCF Formula

Least Common Multiple of 312,252 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 312,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,252) = 12

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

GCF(312,252) x common factors =12 x 1 = 12

LCM(312,252) = ( 312 × 252 ) / 12

LCM(312,252) = 78624 / 12

LCM(312,252) = 6552


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 864/312, 2243/252

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 864/312, 2243/252?

Answer: GCF of Numerators as per given numbers 864/312, 2243/252 is

GCF of Numerators i.e. for 864,2243 is 1

LCM of denominators i.e. for 312,252 is 6552.

Thus, GCF of Fractions is 1/6552.Finally, GCF of Fractions for 864/312, 2243/252 is 1/6552.