GCD of 729, 786, 693, 556 Calculator

Given Input numbers are 729, 786, 693, 556

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 729, 786, 693, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 786, 693, 556 is 1.

Therefore, GCD of numbers 729, 786, 693, 556 is 1

Given Input Data is 729, 786, 693, 556

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 556 is 2 x 2 x 139

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(729, 786) = 190998

GCD(729, 786) = ( 729 x 786 ) / 190998

GCD(729, 786) = 572994 / 190998

GCD(729, 786) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 693

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

LCM(3, 693) = 693

GCD(3, 693) = ( 3 x 693 ) / 693

GCD(3, 693) = 2079 / 693

GCD(3, 693) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 556

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

LCM(3, 556) = 1668

GCD(3, 556) = ( 3 x 556 ) / 1668

GCD(3, 556) = 1668 / 1668

GCD(3, 556) = 1

GCD of 729, 786, 693, 556 is 1

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1. What is the GCD of 729, 786, 693, 556?

GCD of 729, 786, 693, 556 is 1

2. Where do I get the detailed procedure to find GCD of 729, 786, 693, 556?

You can find a detailed procedure to find GCD of 729, 786, 693, 556 on our page.

3. How to find GCD of 729, 786, 693, 556 on a calculator?

You can find the GCD of 729, 786, 693, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.