GCD of 921, 522, 45, 188 Calculator

Given Input numbers are 921, 522, 45, 188

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

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 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 188

List of positive integer divisors of 188 that divides 188 without a remainder.

1, 2, 4, 47, 94, 188

Greatest Common Divisior

We found the divisors of 921, 522, 45, 188 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 522, 45, 188 is 1.

Therefore, GCD of numbers 921, 522, 45, 188 is 1

Given Input Data is 921, 522, 45, 188

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

Prime Factorization of 921 is 3 x 307

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

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 188 is 2 x 2 x 47

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(921, 522) = 160254

GCD(921, 522) = ( 921 x 522 ) / 160254

GCD(921, 522) = 480762 / 160254

GCD(921, 522) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 45

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

LCM(3, 45) = 45

GCD(3, 45) = ( 3 x 45 ) / 45

GCD(3, 45) = 135 / 45

GCD(3, 45) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 188

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

LCM(3, 188) = 564

GCD(3, 188) = ( 3 x 188 ) / 564

GCD(3, 188) = 564 / 564

GCD(3, 188) = 1

GCD of 921, 522, 45, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 631, 19, 655
• GCD of 614, 922, 71, 394
• GCD of 964, 634, 99, 473
• GCD of 855, 868, 90, 459
• GCD of 878, 729, 45, 323

1. What is the GCD of 921, 522, 45, 188?

GCD of 921, 522, 45, 188 is 1

2. Where do I get the detailed procedure to find GCD of 921, 522, 45, 188?

You can find a detailed procedure to find GCD of 921, 522, 45, 188 on our page.

3. How to find GCD of 921, 522, 45, 188 on a calculator?

You can find the GCD of 921, 522, 45, 188 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.