GCD of 728, 156, 36, 527 Calculator

Given Input numbers are 728, 156, 36, 527

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

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 728, 156, 36, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 728, 156, 36, 527 is 1.

Therefore, GCD of numbers 728, 156, 36, 527 is 1

Given Input Data is 728, 156, 36, 527

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

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

Prime Factorization of 156 is 2 x 2 x 3 x 13

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

Prime Factorization of 527 is 17 x 31

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(728, 156) = 2184

GCD(728, 156) = ( 728 x 156 ) / 2184

GCD(728, 156) = 113568 / 2184

GCD(728, 156) = 52

Step2:

Here we consider the GCD from the above i.e. 52 as first number and the next as 36

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

LCM(52, 36) = 468

GCD(52, 36) = ( 52 x 36 ) / 468

GCD(52, 36) = 1872 / 468

GCD(52, 36) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 527

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

LCM(4, 527) = 2108

GCD(4, 527) = ( 4 x 527 ) / 2108

GCD(4, 527) = 2108 / 2108

GCD(4, 527) = 1

GCD of 728, 156, 36, 527 is 1

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1. What is the GCD of 728, 156, 36, 527?

GCD of 728, 156, 36, 527 is 1

2. Where do I get the detailed procedure to find GCD of 728, 156, 36, 527?

You can find a detailed procedure to find GCD of 728, 156, 36, 527 on our page.

3. How to find GCD of 728, 156, 36, 527 on a calculator?

You can find the GCD of 728, 156, 36, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.