Greatest Common Factor of 594/81, 651/89, 723/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 594/81, 651/89, 723/17

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 594/81,651/89,723/17

Given fractions are 594/81,651/89,723/17

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 594,651,723

Greatest Common Factor of Numerators i.e. GCF of 594,651,723 is 3 .

LCM of Denominators means LCM of 81,89,17 as per the given fractions.

LCM of 81,89,17 is 122553 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 594,651,723

GCF of Fractions 594/81,651/89,723/17 is 3/122553

3 594, 651, 723
198, 217, 241

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

Greatest Common Factor of 594,651,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 594,651,723 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 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 594,651,723 . The biggest common factor number is the GCF number.
So the greatest common factor 594,651,723 is 3.

Lets's calculate LCM of 81,89,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 122553

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/122553

Therefore, the GCF of Fractions 594/81,651/89,723/17 is 3/122553

Least Common Multiple of 81,89,17 with GCF Formula

Least Common Multiple of 81,89,17 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 81,89,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,89,17) = 1

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

GCF(81,89,17) x common factors =1 x 1 = 1

LCM(81,89,17) = ( 81 × 89 × 17 ) / 1

LCM(81,89,17) = 122553 / 1

LCM(81,89,17) = 122553


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 594/81, 651/89, 723/17

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 594/81, 651/89, 723/17?

Answer: GCF of Numerators as per given numbers 594/81, 651/89, 723/17 is

GCF of Numerators i.e. for 594,651,723 is 3

LCM of denominators i.e. for 81,89,17 is 122553.

Thus, GCF of Fractions is 3/122553.Finally, GCF of Fractions for 594/81, 651/89, 723/17 is 3/122553.