GCD of 570, 213, 666, 162 Calculator

Given Input numbers are 570, 213, 666, 162

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

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

Greatest Common Divisior

We found the divisors of 570, 213, 666, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 213, 666, 162 is 3.

Therefore, GCD of numbers 570, 213, 666, 162 is 3

Given Input Data is 570, 213, 666, 162

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 213 is 3 x 71

Prime Factorization of 666 is 2 x 3 x 3 x 37

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

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(570, 213) = 40470

GCD(570, 213) = ( 570 x 213 ) / 40470

GCD(570, 213) = 121410 / 40470

GCD(570, 213) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 666

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

LCM(3, 666) = 666

GCD(3, 666) = ( 3 x 666 ) / 666

GCD(3, 666) = 1998 / 666

GCD(3, 666) = 3

Step3:

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

GCD of 570, 213, 666, 162 is 3

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1. What is the GCD of 570, 213, 666, 162?

GCD of 570, 213, 666, 162 is 3

2. Where do I get the detailed procedure to find GCD of 570, 213, 666, 162?

You can find a detailed procedure to find GCD of 570, 213, 666, 162 on our page.

3. How to find GCD of 570, 213, 666, 162 on a calculator?

You can find the GCD of 570, 213, 666, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.