GCD of 972, 185, 284, 821 Calculator

Given Input numbers are 972, 185, 284, 821

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

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 972, 185, 284, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 185, 284, 821 is 1.

Therefore, GCD of numbers 972, 185, 284, 821 is 1

Given Input Data is 972, 185, 284, 821

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

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

Prime Factorization of 185 is 5 x 37

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 821 is 821

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(972, 185) = 179820

GCD(972, 185) = ( 972 x 185 ) / 179820

GCD(972, 185) = 179820 / 179820

GCD(972, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 284

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

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

GCD(1, 284) = 284 / 284

GCD(1, 284) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 972, 185, 284, 821 is 1

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1. What is the GCD of 972, 185, 284, 821?

GCD of 972, 185, 284, 821 is 1

2. Where do I get the detailed procedure to find GCD of 972, 185, 284, 821?

You can find a detailed procedure to find GCD of 972, 185, 284, 821 on our page.

3. How to find GCD of 972, 185, 284, 821 on a calculator?

You can find the GCD of 972, 185, 284, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.