GCD of 246, 524, 36, 586 Calculator

Given Input numbers are 246, 524, 36, 586

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

Divisors of 246

List of positive integer divisors of 246 that divides 246 without a remainder.

1, 2, 3, 6, 41, 82, 123, 246

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 246, 524, 36, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 246, 524, 36, 586 is 2.

Therefore, GCD of numbers 246, 524, 36, 586 is 2

Given Input Data is 246, 524, 36, 586

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

Prime Factorization of 246 is 2 x 3 x 41

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 586 is 2 x 293

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(246, 524) = 64452

GCD(246, 524) = ( 246 x 524 ) / 64452

GCD(246, 524) = 128904 / 64452

GCD(246, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 586

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

LCM(2, 586) = 586

GCD(2, 586) = ( 2 x 586 ) / 586

GCD(2, 586) = 1172 / 586

GCD(2, 586) = 2

GCD of 246, 524, 36, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 630, 472, 41, 217
• GCD of 794, 112, 57, 154
• GCD of 501, 672, 15, 943
• GCD of 892, 929, 66, 462
• GCD of 130, 114, 65, 368

1. What is the GCD of 246, 524, 36, 586?

GCD of 246, 524, 36, 586 is 2

2. Where do I get the detailed procedure to find GCD of 246, 524, 36, 586?

You can find a detailed procedure to find GCD of 246, 524, 36, 586 on our page.

3. How to find GCD of 246, 524, 36, 586 on a calculator?

You can find the GCD of 246, 524, 36, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.