Greatest Common Factor of 5712/828, 8573/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5712/828, 8573/404

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 5712/828,8573/404

Given fractions are 5712/828,8573/404

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 5712,8573

Greatest Common Factor of Numerators i.e. GCF of 5712,8573 is 1 .

LCM of Denominators means LCM of 828,404 as per the given fractions.

LCM of 828,404 is 83628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5712,8573

GCF of Fractions 5712/828,8573/404 is 1/83628

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

Greatest Common Factor of 5712,8573 By Matching Biggest Common Factor Method

Greatest Common Factor of 5712,8573 By Matching Biggest Common Factor Method

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712

Factors of 8573

List of positive integer factors of 8573 that divides 8573 without a remainder.

1,8573

Greatest Common Factor

We found the factors 5712,8573 . The biggest common factor number is the GCF number.
So the greatest common factor 5712,8573 is 1.

Lets's calculate LCM of 828,404

2 828, 404
2 414, 202
207, 101

∴ So the LCM of the given numbers is 2 x 2 x 207 x 101 = 83628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83628

Therefore, the GCF of Fractions 5712/828,8573/404 is 1/83628

Least Common Multiple of 828,404 with GCF Formula

Least Common Multiple of 828,404 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 828,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,404) = 4

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

GCF(828,404) x common factors =4 x 1 = 4

LCM(828,404) = ( 828 × 404 ) / 4

LCM(828,404) = 334512 / 4

LCM(828,404) = 83628


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 5712/828, 8573/404

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 5712/828, 8573/404?

Answer: GCF of Numerators as per given numbers 5712/828, 8573/404 is

GCF of Numerators i.e. for 5712,8573 is 1

LCM of denominators i.e. for 828,404 is 83628.

Thus, GCF of Fractions is 1/83628.Finally, GCF of Fractions for 5712/828, 8573/404 is 1/83628.