Greatest Common Factor of 2817/922, 6048/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2817/922, 6048/462

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 2817/922,6048/462

Given fractions are 2817/922,6048/462

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 2817,6048

Greatest Common Factor of Numerators i.e. GCF of 2817,6048 is 9 .

LCM of Denominators means LCM of 922,462 as per the given fractions.

LCM of 922,462 is 212982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2817,6048

GCF of Fractions 2817/922,6048/462 is 9/212982

3 2817, 6048
3 939, 2016
313, 672

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2817,6048 By Matching Biggest Common Factor Method

Greatest Common Factor of 2817,6048 By Matching Biggest Common Factor Method

Factors of 2817

List of positive integer factors of 2817 that divides 2817 without a remainder.

1,3,9,313,939,2817

Factors of 6048

List of positive integer factors of 6048 that divides 6048 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,32,36,42,48,54,56,63,72,84,96,108,112,126,144,168,189,216,224,252,288,336,378,432,504,672,756,864,1008,1512,2016,3024,6048

Greatest Common Factor

We found the factors 2817,6048 . The biggest common factor number is the GCF number.
So the greatest common factor 2817,6048 is 9.

Lets's calculate LCM of 922,462

2 922, 462
461, 231

∴ So the LCM of the given numbers is 2 x 461 x 231 = 212982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/212982

Therefore, the GCF of Fractions 2817/922,6048/462 is 9/212982

Least Common Multiple of 922,462 with GCF Formula

Least Common Multiple of 922,462 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 922,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,462) = 2

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

GCF(922,462) x common factors =2 x 1 = 2

LCM(922,462) = ( 922 × 462 ) / 2

LCM(922,462) = 425964 / 2

LCM(922,462) = 212982


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 2817/922, 6048/462

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 2817/922, 6048/462?

Answer: GCF of Numerators as per given numbers 2817/922, 6048/462 is

GCF of Numerators i.e. for 2817,6048 is 9

LCM of denominators i.e. for 922,462 is 212982.

Thus, GCF of Fractions is 9/212982.Finally, GCF of Fractions for 2817/922, 6048/462 is 9/212982.