Greatest Common Factor of 403/824, 589/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 403/824, 589/596

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 403/824,589/596

Given fractions are 403/824,589/596

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 403,589

Greatest Common Factor of Numerators i.e. GCF of 403,589 is 31 .

LCM of Denominators means LCM of 824,596 as per the given fractions.

LCM of 824,596 is 122776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 403,589

GCF of Fractions 403/824,589/596 is 31/122776

31 403, 589
13, 19

∴ So the GCF of the given numbers is 31 = 31

Greatest Common Factor of 403,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,589 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 403,589 . The biggest common factor number is the GCF number.
So the greatest common factor 403,589 is 31.

Lets's calculate LCM of 824,596

2 824, 596
2 412, 298
206, 149

∴ So the LCM of the given numbers is 2 x 2 x 206 x 149 = 122776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/122776

Therefore, the GCF of Fractions 403/824,589/596 is 31/122776

Least Common Multiple of 824,596 with GCF Formula

Least Common Multiple of 824,596 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 824,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,596) = 4

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

GCF(824,596) x common factors =4 x 1 = 4

LCM(824,596) = ( 824 × 596 ) / 4

LCM(824,596) = 491104 / 4

LCM(824,596) = 122776


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 403/824, 589/596

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 403/824, 589/596?

Answer: GCF of Numerators as per given numbers 403/824, 589/596 is

GCF of Numerators i.e. for 403,589 is 31

LCM of denominators i.e. for 824,596 is 122776.

Thus, GCF of Fractions is 31/122776.Finally, GCF of Fractions for 403/824, 589/596 is 31/122776.