GCD of 21, 642, 717, 889 Calculator

Given Input numbers are 21, 642, 717, 889

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 642

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

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 21, 642, 717, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 642, 717, 889 is 1.

Therefore, GCD of numbers 21, 642, 717, 889 is 1

Given Input Data is 21, 642, 717, 889

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 717 is 3 x 239

Prime Factorization of 889 is 7 x 127

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(21, 642) = 4494

GCD(21, 642) = ( 21 x 642 ) / 4494

GCD(21, 642) = 13482 / 4494

GCD(21, 642) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 717

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

LCM(3, 717) = 717

GCD(3, 717) = ( 3 x 717 ) / 717

GCD(3, 717) = 2151 / 717

GCD(3, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 889

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

LCM(3, 889) = 2667

GCD(3, 889) = ( 3 x 889 ) / 2667

GCD(3, 889) = 2667 / 2667

GCD(3, 889) = 1

GCD of 21, 642, 717, 889 is 1

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• GCD of 35, 737, 916, 560
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1. What is the GCD of 21, 642, 717, 889?

GCD of 21, 642, 717, 889 is 1

2. Where do I get the detailed procedure to find GCD of 21, 642, 717, 889?

You can find a detailed procedure to find GCD of 21, 642, 717, 889 on our page.

3. How to find GCD of 21, 642, 717, 889 on a calculator?

You can find the GCD of 21, 642, 717, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.