GCD of 573, 684, 162, 297 Calculator

Given Input numbers are 573, 684, 162, 297

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

Divisors of 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 573, 684, 162, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 684, 162, 297 is 3.

Therefore, GCD of numbers 573, 684, 162, 297 is 3

Given Input Data is 573, 684, 162, 297

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

Prime Factorization of 573 is 3 x 191

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 297 is 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(573, 684) = 130644

GCD(573, 684) = ( 573 x 684 ) / 130644

GCD(573, 684) = 391932 / 130644

GCD(573, 684) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 297

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

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

GCD(3, 297) = 891 / 297

GCD(3, 297) = 3

GCD of 573, 684, 162, 297 is 3

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1. What is the GCD of 573, 684, 162, 297?

GCD of 573, 684, 162, 297 is 3

2. Where do I get the detailed procedure to find GCD of 573, 684, 162, 297?

You can find a detailed procedure to find GCD of 573, 684, 162, 297 on our page.

3. How to find GCD of 573, 684, 162, 297 on a calculator?

You can find the GCD of 573, 684, 162, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.