GCD of 162, 420, 455, 644 Calculator

Given Input numbers are 162, 420, 455, 644

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

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Greatest Common Divisior

We found the divisors of 162, 420, 455, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 420, 455, 644 is 1.

Therefore, GCD of numbers 162, 420, 455, 644 is 1

Given Input Data is 162, 420, 455, 644

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

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 644 is 2 x 2 x 7 x 23

The above numbers do not have any common prime factor. So GCD is 1

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(162, 420) = 11340

GCD(162, 420) = ( 162 x 420 ) / 11340

GCD(162, 420) = 68040 / 11340

GCD(162, 420) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 455

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

LCM(6, 455) = 2730

GCD(6, 455) = ( 6 x 455 ) / 2730

GCD(6, 455) = 2730 / 2730

GCD(6, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 644

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

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

GCD(1, 644) = 644 / 644

GCD(1, 644) = 1

GCD of 162, 420, 455, 644 is 1

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1. What is the GCD of 162, 420, 455, 644?

GCD of 162, 420, 455, 644 is 1

2. Where do I get the detailed procedure to find GCD of 162, 420, 455, 644?

You can find a detailed procedure to find GCD of 162, 420, 455, 644 on our page.

3. How to find GCD of 162, 420, 455, 644 on a calculator?

You can find the GCD of 162, 420, 455, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.