Greatest Common Factor of 594/844, 209/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/844, 209/743

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 594/844,209/743

Given fractions are 594/844,209/743

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 594,209

Greatest Common Factor of Numerators i.e. GCF of 594,209 is 11 .

LCM of Denominators means LCM of 844,743 as per the given fractions.

LCM of 844,743 is 627092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,209

GCF of Fractions 594/844,209/743 is 11/627092

11 594, 209
54, 19

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 594,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,209 By Matching Biggest Common Factor Method

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Greatest Common Factor

We found the factors 594,209 . The biggest common factor number is the GCF number.
So the greatest common factor 594,209 is 11.

Lets's calculate LCM of 844,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 627092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/627092

Therefore, the GCF of Fractions 594/844,209/743 is 11/627092

Least Common Multiple of 844,743 with GCF Formula

Least Common Multiple of 844,743 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 844,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,743) = 1

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

GCF(844,743) x common factors =1 x 1 = 1

LCM(844,743) = ( 844 × 743 ) / 1

LCM(844,743) = 627092 / 1

LCM(844,743) = 627092


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 594/844, 209/743

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 594/844, 209/743?

Answer: GCF of Numerators as per given numbers 594/844, 209/743 is

GCF of Numerators i.e. for 594,209 is 11

LCM of denominators i.e. for 844,743 is 627092.

Thus, GCF of Fractions is 11/627092.Finally, GCF of Fractions for 594/844, 209/743 is 11/627092.