GCD of 162, 756, 598, 259 Calculator

Given Input numbers are 162, 756, 598, 259

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 162, 756, 598, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 756, 598, 259 is 1.

Therefore, GCD of numbers 162, 756, 598, 259 is 1

Given Input Data is 162, 756, 598, 259

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 259 is 7 x 37

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, 756) = 2268

GCD(162, 756) = ( 162 x 756 ) / 2268

GCD(162, 756) = 122472 / 2268

GCD(162, 756) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 598

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

LCM(54, 598) = 16146

GCD(54, 598) = ( 54 x 598 ) / 16146

GCD(54, 598) = 32292 / 16146

GCD(54, 598) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 259

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

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

GCD(2, 259) = 518 / 518

GCD(2, 259) = 1

GCD of 162, 756, 598, 259 is 1

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1. What is the GCD of 162, 756, 598, 259?

GCD of 162, 756, 598, 259 is 1

2. Where do I get the detailed procedure to find GCD of 162, 756, 598, 259?

You can find a detailed procedure to find GCD of 162, 756, 598, 259 on our page.

3. How to find GCD of 162, 756, 598, 259 on a calculator?

You can find the GCD of 162, 756, 598, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.