GCD of 165, 723, 540, 594 Calculator

Given Input numbers are 165, 723, 540, 594

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 723

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

1, 3, 241, 723

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 594

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

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

Greatest Common Divisior

We found the divisors of 165, 723, 540, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 723, 540, 594 is 3.

Therefore, GCD of numbers 165, 723, 540, 594 is 3

Given Input Data is 165, 723, 540, 594

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 723 is 3 x 241

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(165, 723) = 39765

GCD(165, 723) = ( 165 x 723 ) / 39765

GCD(165, 723) = 119295 / 39765

GCD(165, 723) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 540

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 540) = 540

GCD(3, 540) = ( 3 x 540 ) / 540

GCD(3, 540) = 1620 / 540

GCD(3, 540) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 594

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

GCD(3, 594) = 1782 / 594

GCD(3, 594) = 3

GCD of 165, 723, 540, 594 is 3

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1. What is the GCD of 165, 723, 540, 594?

GCD of 165, 723, 540, 594 is 3

2. Where do I get the detailed procedure to find GCD of 165, 723, 540, 594?

You can find a detailed procedure to find GCD of 165, 723, 540, 594 on our page.

3. How to find GCD of 165, 723, 540, 594 on a calculator?

You can find the GCD of 165, 723, 540, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.