Greatest Common Factor of 9324/363, 2247/837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9324/363, 2247/837

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 9324/363,2247/837

Given fractions are 9324/363,2247/837

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 9324,2247

Greatest Common Factor of Numerators i.e. GCF of 9324,2247 is 21 .

LCM of Denominators means LCM of 363,837 as per the given fractions.

LCM of 363,837 is 101277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9324,2247

GCF of Fractions 9324/363,2247/837 is 21/101277

3 9324, 2247
7 3108, 749
444, 107

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 9324,2247 By Matching Biggest Common Factor Method

Greatest Common Factor of 9324,2247 By Matching Biggest Common Factor Method

Factors of 9324

List of positive integer factors of 9324 that divides 9324 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,37,42,63,74,84,111,126,148,222,252,259,333,444,518,666,777,1036,1332,1554,2331,3108,4662,9324

Factors of 2247

List of positive integer factors of 2247 that divides 2247 without a remainder.

1,3,7,21,107,321,749,2247

Greatest Common Factor

We found the factors 9324,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 9324,2247 is 21.

Lets's calculate LCM of 363,837

3 363, 837
121, 279

∴ So the LCM of the given numbers is 3 x 121 x 279 = 101277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/101277

Therefore, the GCF of Fractions 9324/363,2247/837 is 21/101277

Least Common Multiple of 363,837 with GCF Formula

Least Common Multiple of 363,837 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 363,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,837) = 3

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

GCF(363,837) x common factors =3 x 1 = 3

LCM(363,837) = ( 363 × 837 ) / 3

LCM(363,837) = 303831 / 3

LCM(363,837) = 101277


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 9324/363, 2247/837

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 9324/363, 2247/837?

Answer: GCF of Numerators as per given numbers 9324/363, 2247/837 is

GCF of Numerators i.e. for 9324,2247 is 21

LCM of denominators i.e. for 363,837 is 101277.

Thus, GCF of Fractions is 21/101277.Finally, GCF of Fractions for 9324/363, 2247/837 is 21/101277.