GCD of 282, 588, 536, 324 Calculator

Given Input numbers are 282, 588, 536, 324

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

Divisors of 282

List of positive integer divisors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 536

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

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

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 282, 588, 536, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 588, 536, 324 is 2.

Therefore, GCD of numbers 282, 588, 536, 324 is 2

Given Input Data is 282, 588, 536, 324

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

Prime Factorization of 282 is 2 x 3 x 47

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(282, 588) = 27636

GCD(282, 588) = ( 282 x 588 ) / 27636

GCD(282, 588) = 165816 / 27636

GCD(282, 588) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 536

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

LCM(6, 536) = 1608

GCD(6, 536) = ( 6 x 536 ) / 1608

GCD(6, 536) = 3216 / 1608

GCD(6, 536) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 324

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

LCM(2, 324) = 324

GCD(2, 324) = ( 2 x 324 ) / 324

GCD(2, 324) = 648 / 324

GCD(2, 324) = 2

GCD of 282, 588, 536, 324 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 870, 119, 690
• GCD of 277, 293, 501, 717
• GCD of 748, 314, 937, 916
• GCD of 810, 596, 181, 281
• GCD of 361, 849, 432, 960

1. What is the GCD of 282, 588, 536, 324?

GCD of 282, 588, 536, 324 is 2

2. Where do I get the detailed procedure to find GCD of 282, 588, 536, 324?

You can find a detailed procedure to find GCD of 282, 588, 536, 324 on our page.

3. How to find GCD of 282, 588, 536, 324 on a calculator?

You can find the GCD of 282, 588, 536, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.