GCD of 972, 583, 361 Calculator

Given Input numbers are 972, 583, 361

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 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 972, 583, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 972, 583, 361 is 1.

Therefore, GCD of numbers 972, 583, 361 is 1

Given Input Data is 972, 583, 361

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 583 is 11 x 53

Prime Factorization of 361 is 19 x 19

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, 583) = 566676

GCD(972, 583) = ( 972 x 583 ) / 566676

GCD(972, 583) = 566676 / 566676

GCD(972, 583) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 972, 583, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 193, 597
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• GCD of 943, 661, 311
• GCD of 208, 973, 967
• GCD of 368, 447, 494

1. What is the GCD of 972, 583, 361?

GCD of 972, 583, 361 is 1

2. Where do I get the detailed procedure to find GCD of 972, 583, 361?

You can find a detailed procedure to find GCD of 972, 583, 361 on our page.

3. How to find GCD of 972, 583, 361 on a calculator?

You can find the GCD of 972, 583, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.