GCD of 201, 561, 17, 972 Calculator

Given Input numbers are 201, 561, 17, 972

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

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 201, 561, 17, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 201, 561, 17, 972 is 1.

Therefore, GCD of numbers 201, 561, 17, 972 is 1

Given Input Data is 201, 561, 17, 972

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

Prime Factorization of 201 is 3 x 67

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 17 is 17

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

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(201, 561) = 37587

GCD(201, 561) = ( 201 x 561 ) / 37587

GCD(201, 561) = 112761 / 37587

GCD(201, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 201, 561, 17, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 690, 66, 276
• GCD of 698, 830, 28, 974
• GCD of 193, 905, 25, 247
• GCD of 483, 156, 39, 941
• GCD of 528, 334, 46, 999

1. What is the GCD of 201, 561, 17, 972?

GCD of 201, 561, 17, 972 is 1

2. Where do I get the detailed procedure to find GCD of 201, 561, 17, 972?

You can find a detailed procedure to find GCD of 201, 561, 17, 972 on our page.

3. How to find GCD of 201, 561, 17, 972 on a calculator?

You can find the GCD of 201, 561, 17, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.