GCD of 253, 729, 20, 642 Calculator

Given Input numbers are 253, 729, 20, 642

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 253, 729, 20, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 729, 20, 642 is 1.

Therefore, GCD of numbers 253, 729, 20, 642 is 1

Given Input Data is 253, 729, 20, 642

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

Prime Factorization of 253 is 11 x 23

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 642 is 2 x 3 x 107

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(253, 729) = 184437

GCD(253, 729) = ( 253 x 729 ) / 184437

GCD(253, 729) = 184437 / 184437

GCD(253, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 253, 729, 20, 642 is 1

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1. What is the GCD of 253, 729, 20, 642?

GCD of 253, 729, 20, 642 is 1

2. Where do I get the detailed procedure to find GCD of 253, 729, 20, 642?

You can find a detailed procedure to find GCD of 253, 729, 20, 642 on our page.

3. How to find GCD of 253, 729, 20, 642 on a calculator?

You can find the GCD of 253, 729, 20, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.