GCD of 219, 852, 21, 444 Calculator

Given Input numbers are 219, 852, 21, 444

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 21

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

1, 3, 7, 21

Divisors of 444

List of positive integer divisors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Greatest Common Divisior

We found the divisors of 219, 852, 21, 444 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 852, 21, 444 is 3.

Therefore, GCD of numbers 219, 852, 21, 444 is 3

Given Input Data is 219, 852, 21, 444

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 21 is 3 x 7

Prime Factorization of 444 is 2 x 2 x 3 x 37

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(219, 852) = 62196

GCD(219, 852) = ( 219 x 852 ) / 62196

GCD(219, 852) = 186588 / 62196

GCD(219, 852) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 444

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

LCM(3, 444) = 444

GCD(3, 444) = ( 3 x 444 ) / 444

GCD(3, 444) = 1332 / 444

GCD(3, 444) = 3

GCD of 219, 852, 21, 444 is 3

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• GCD of 480, 826, 56, 289
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1. What is the GCD of 219, 852, 21, 444?

GCD of 219, 852, 21, 444 is 3

2. Where do I get the detailed procedure to find GCD of 219, 852, 21, 444?

You can find a detailed procedure to find GCD of 219, 852, 21, 444 on our page.

3. How to find GCD of 219, 852, 21, 444 on a calculator?

You can find the GCD of 219, 852, 21, 444 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.