GCD of 564, 382, 37, 852 Calculator

Given Input numbers are 564, 382, 37, 852

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 37

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

1, 37

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 564, 382, 37, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 382, 37, 852 is 1.

Therefore, GCD of numbers 564, 382, 37, 852 is 1

Given Input Data is 564, 382, 37, 852

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 382 is 2 x 191

Prime Factorization of 37 is 37

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(564, 382) = 107724

GCD(564, 382) = ( 564 x 382 ) / 107724

GCD(564, 382) = 215448 / 107724

GCD(564, 382) = 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 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 564, 382, 37, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 153, 85, 665
• GCD of 143, 625, 71, 217
• GCD of 841, 689, 65, 888
• GCD of 413, 539, 71, 360
• GCD of 729, 695, 65, 947

1. What is the GCD of 564, 382, 37, 852?

GCD of 564, 382, 37, 852 is 1

2. Where do I get the detailed procedure to find GCD of 564, 382, 37, 852?

You can find a detailed procedure to find GCD of 564, 382, 37, 852 on our page.

3. How to find GCD of 564, 382, 37, 852 on a calculator?

You can find the GCD of 564, 382, 37, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.