GCD of 562, 204, 326, 536 Calculator

Given Input numbers are 562, 204, 326, 536

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 536

List of positive integer divisors of 536 that divides 536 without a remainder.

1, 2, 4, 8, 67, 134, 268, 536

Greatest Common Divisior

We found the divisors of 562, 204, 326, 536 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 204, 326, 536 is 2.

Therefore, GCD of numbers 562, 204, 326, 536 is 2

Given Input Data is 562, 204, 326, 536

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 326 is 2 x 163

Prime Factorization of 536 is 2 x 2 x 2 x 67

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(562, 204) = 57324

GCD(562, 204) = ( 562 x 204 ) / 57324

GCD(562, 204) = 114648 / 57324

GCD(562, 204) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 326

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

LCM(2, 326) = 326

GCD(2, 326) = ( 2 x 326 ) / 326

GCD(2, 326) = 652 / 326

GCD(2, 326) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 536

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

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

GCD(2, 536) = 1072 / 536

GCD(2, 536) = 2

GCD of 562, 204, 326, 536 is 2

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1. What is the GCD of 562, 204, 326, 536?

GCD of 562, 204, 326, 536 is 2

2. Where do I get the detailed procedure to find GCD of 562, 204, 326, 536?

You can find a detailed procedure to find GCD of 562, 204, 326, 536 on our page.

3. How to find GCD of 562, 204, 326, 536 on a calculator?

You can find the GCD of 562, 204, 326, 536 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.