GCD of 821, 972, 21, 219 Calculator

Given Input numbers are 821, 972, 21, 219

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 21

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

1, 3, 7, 21

Divisors of 219

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

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 821, 972, 21, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 972, 21, 219 is 1.

Therefore, GCD of numbers 821, 972, 21, 219 is 1

Given Input Data is 821, 972, 21, 219

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

Prime Factorization of 821 is 821

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 21 is 3 x 7

Prime Factorization of 219 is 3 x 73

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(821, 972) = 798012

GCD(821, 972) = ( 821 x 972 ) / 798012

GCD(821, 972) = 798012 / 798012

GCD(821, 972) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 821, 972, 21, 219 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 426, 76, 971
• GCD of 229, 112, 50, 885
• GCD of 763, 507, 72, 742
• GCD of 577, 126, 64, 929
• GCD of 278, 138, 37, 581

1. What is the GCD of 821, 972, 21, 219?

GCD of 821, 972, 21, 219 is 1

2. Where do I get the detailed procedure to find GCD of 821, 972, 21, 219?

You can find a detailed procedure to find GCD of 821, 972, 21, 219 on our page.

3. How to find GCD of 821, 972, 21, 219 on a calculator?

You can find the GCD of 821, 972, 21, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.