GCD of 212, 522, 37, 802 Calculator

Given Input numbers are 212, 522, 37, 802

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

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 37

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

1, 37

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 212, 522, 37, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 522, 37, 802 is 1.

Therefore, GCD of numbers 212, 522, 37, 802 is 1

Given Input Data is 212, 522, 37, 802

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 37 is 37

Prime Factorization of 802 is 2 x 401

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(212, 522) = 55332

GCD(212, 522) = ( 212 x 522 ) / 55332

GCD(212, 522) = 110664 / 55332

GCD(212, 522) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 37

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

LCM(2, 37) = 74

GCD(2, 37) = ( 2 x 37 ) / 74

GCD(2, 37) = 74 / 74

GCD(2, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 212, 522, 37, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 668, 75, 415
• GCD of 544, 114, 62, 450
• GCD of 528, 900, 66, 361
• GCD of 143, 292, 86, 276
• GCD of 971, 507, 58, 191

1. What is the GCD of 212, 522, 37, 802?

GCD of 212, 522, 37, 802 is 1

2. Where do I get the detailed procedure to find GCD of 212, 522, 37, 802?

You can find a detailed procedure to find GCD of 212, 522, 37, 802 on our page.

3. How to find GCD of 212, 522, 37, 802 on a calculator?

You can find the GCD of 212, 522, 37, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.