GCD of 651, 556, 729, 420 Calculator

Given Input numbers are 651, 556, 729, 420

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

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 556

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

1, 2, 4, 139, 278, 556

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Greatest Common Divisior

We found the divisors of 651, 556, 729, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 651, 556, 729, 420 is 1.

Therefore, GCD of numbers 651, 556, 729, 420 is 1

Given Input Data is 651, 556, 729, 420

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

Prime Factorization of 651 is 3 x 7 x 31

Prime Factorization of 556 is 2 x 2 x 139

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

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(651, 556) = 361956

GCD(651, 556) = ( 651 x 556 ) / 361956

GCD(651, 556) = 361956 / 361956

GCD(651, 556) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 729

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

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

GCD(1, 729) = 729 / 729

GCD(1, 729) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 651, 556, 729, 420 is 1

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1. What is the GCD of 651, 556, 729, 420?

GCD of 651, 556, 729, 420 is 1

2. Where do I get the detailed procedure to find GCD of 651, 556, 729, 420?

You can find a detailed procedure to find GCD of 651, 556, 729, 420 on our page.

3. How to find GCD of 651, 556, 729, 420 on a calculator?

You can find the GCD of 651, 556, 729, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.