Greatest Common Factor of 684/296, 5823/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 684/296, 5823/856

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 684/296,5823/856

Given fractions are 684/296,5823/856

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 684,5823

Greatest Common Factor of Numerators i.e. GCF of 684,5823 is 9 .

LCM of Denominators means LCM of 296,856 as per the given fractions.

LCM of 296,856 is 31672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 684,5823

GCF of Fractions 684/296,5823/856 is 9/31672

3 684, 5823
3 228, 1941
76, 647

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

Greatest Common Factor of 684,5823 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,5823 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1,3,9,647,1941,5823

Greatest Common Factor

We found the factors 684,5823 . The biggest common factor number is the GCF number.
So the greatest common factor 684,5823 is 9.

Lets's calculate LCM of 296,856

2 296, 856
2 148, 428
2 74, 214
37, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 37 x 107 = 31672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/31672

Therefore, the GCF of Fractions 684/296,5823/856 is 9/31672

Least Common Multiple of 296,856 with GCF Formula

Least Common Multiple of 296,856 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 296,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,856) = 8

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

GCF(296,856) x common factors =8 x 1 = 8

LCM(296,856) = ( 296 × 856 ) / 8

LCM(296,856) = 253376 / 8

LCM(296,856) = 31672


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 684/296, 5823/856

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 684/296, 5823/856?

Answer: GCF of Numerators as per given numbers 684/296, 5823/856 is

GCF of Numerators i.e. for 684,5823 is 9

LCM of denominators i.e. for 296,856 is 31672.

Thus, GCF of Fractions is 9/31672.Finally, GCF of Fractions for 684/296, 5823/856 is 9/31672.