GCD of 21, 873, 610, 252 Calculator

Given Input numbers are 21, 873, 610, 252

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 21, 873, 610, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 873, 610, 252 is 1.

Therefore, GCD of numbers 21, 873, 610, 252 is 1

Given Input Data is 21, 873, 610, 252

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 252 is 2 x 2 x 3 x 3 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(21, 873) = 6111

GCD(21, 873) = ( 21 x 873 ) / 6111

GCD(21, 873) = 18333 / 6111

GCD(21, 873) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 610

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

LCM(3, 610) = 1830

GCD(3, 610) = ( 3 x 610 ) / 1830

GCD(3, 610) = 1830 / 1830

GCD(3, 610) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 21, 873, 610, 252 is 1

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• GCD of 96, 406, 890, 812
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1. What is the GCD of 21, 873, 610, 252?

GCD of 21, 873, 610, 252 is 1

2. Where do I get the detailed procedure to find GCD of 21, 873, 610, 252?

You can find a detailed procedure to find GCD of 21, 873, 610, 252 on our page.

3. How to find GCD of 21, 873, 610, 252 on a calculator?

You can find the GCD of 21, 873, 610, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.