GCD of 360, 255, 322, 162 Calculator

Given Input numbers are 360, 255, 322, 162

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

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

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 360, 255, 322, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 255, 322, 162 is 1.

Therefore, GCD of numbers 360, 255, 322, 162 is 1

Given Input Data is 360, 255, 322, 162

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

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 322 is 2 x 7 x 23

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

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(360, 255) = 6120

GCD(360, 255) = ( 360 x 255 ) / 6120

GCD(360, 255) = 91800 / 6120

GCD(360, 255) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 322

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

LCM(15, 322) = 4830

GCD(15, 322) = ( 15 x 322 ) / 4830

GCD(15, 322) = 4830 / 4830

GCD(15, 322) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 162

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

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

GCD(1, 162) = 162 / 162

GCD(1, 162) = 1

GCD of 360, 255, 322, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 187, 977, 887
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• GCD of 491, 186, 150, 522
• GCD of 160, 168, 452, 270
• GCD of 125, 483, 246, 747

1. What is the GCD of 360, 255, 322, 162?

GCD of 360, 255, 322, 162 is 1

2. Where do I get the detailed procedure to find GCD of 360, 255, 322, 162?

You can find a detailed procedure to find GCD of 360, 255, 322, 162 on our page.

3. How to find GCD of 360, 255, 322, 162 on a calculator?

You can find the GCD of 360, 255, 322, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.