GCD of 221, 286, 37, 597 Calculator

Given Input numbers are 221, 286, 37, 597

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

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Greatest Common Divisior

We found the divisors of 221, 286, 37, 597 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 221, 286, 37, 597 is 1.

Therefore, GCD of numbers 221, 286, 37, 597 is 1

Given Input Data is 221, 286, 37, 597

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

Prime Factorization of 221 is 13 x 17

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 37 is 37

Prime Factorization of 597 is 3 x 199

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(221, 286) = 4862

GCD(221, 286) = ( 221 x 286 ) / 4862

GCD(221, 286) = 63206 / 4862

GCD(221, 286) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 37

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

LCM(13, 37) = 481

GCD(13, 37) = ( 13 x 37 ) / 481

GCD(13, 37) = 481 / 481

GCD(13, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 597

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

LCM(1, 597) = 597

GCD(1, 597) = ( 1 x 597 ) / 597

GCD(1, 597) = 597 / 597

GCD(1, 597) = 1

GCD of 221, 286, 37, 597 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 716, 639, 53, 101
• GCD of 836, 494, 69, 873
• GCD of 574, 492, 73, 507
• GCD of 409, 199, 85, 896
• GCD of 452, 107, 39, 896

1. What is the GCD of 221, 286, 37, 597?

GCD of 221, 286, 37, 597 is 1

2. Where do I get the detailed procedure to find GCD of 221, 286, 37, 597?

You can find a detailed procedure to find GCD of 221, 286, 37, 597 on our page.

3. How to find GCD of 221, 286, 37, 597 on a calculator?

You can find the GCD of 221, 286, 37, 597 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.