Greatest Common Factor of 589/75, 722/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 589/75, 722/566

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 589/75,722/566

Given fractions are 589/75,722/566

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 589,722

Greatest Common Factor of Numerators i.e. GCF of 589,722 is 19 .

LCM of Denominators means LCM of 75,566 as per the given fractions.

LCM of 75,566 is 42450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 589,722

GCF of Fractions 589/75,722/566 is 19/42450

19 589, 722
31, 38

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 589,722 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,722 By Matching Biggest Common Factor Method

Factors of 589

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

1,19,31,589

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Greatest Common Factor

We found the factors 589,722 . The biggest common factor number is the GCF number.
So the greatest common factor 589,722 is 19.

Lets's calculate LCM of 75,566

Given numbers has no common factors except 1. So, there LCM is their product i.e 42450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/42450

Therefore, the GCF of Fractions 589/75,722/566 is 19/42450

Least Common Multiple of 75,566 with GCF Formula

Least Common Multiple of 75,566 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 75,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,566) = 1

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

GCF(75,566) x common factors =1 x 1 = 1

LCM(75,566) = ( 75 × 566 ) / 1

LCM(75,566) = 42450 / 1

LCM(75,566) = 42450


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 589/75, 722/566

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 589/75, 722/566?

Answer: GCF of Numerators as per given numbers 589/75, 722/566 is

GCF of Numerators i.e. for 589,722 is 19

LCM of denominators i.e. for 75,566 is 42450.

Thus, GCF of Fractions is 19/42450.Finally, GCF of Fractions for 589/75, 722/566 is 19/42450.