GCD of 286, 564, 37, 502 Calculator

Given Input numbers are 286, 564, 37, 502

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

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 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 37

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

1, 37

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 286, 564, 37, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 564, 37, 502 is 1.

Therefore, GCD of numbers 286, 564, 37, 502 is 1

Given Input Data is 286, 564, 37, 502

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

Prime Factorization of 286 is 2 x 11 x 13

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

Prime Factorization of 37 is 37

Prime Factorization of 502 is 2 x 251

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(286, 564) = 80652

GCD(286, 564) = ( 286 x 564 ) / 80652

GCD(286, 564) = 161304 / 80652

GCD(286, 564) = 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 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 286, 564, 37, 502 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 399, 475, 76, 966
• GCD of 283, 319, 25, 980
• GCD of 399, 651, 14, 325
• GCD of 662, 932, 62, 294
• GCD of 920, 948, 37, 404

1. What is the GCD of 286, 564, 37, 502?

GCD of 286, 564, 37, 502 is 1

2. Where do I get the detailed procedure to find GCD of 286, 564, 37, 502?

You can find a detailed procedure to find GCD of 286, 564, 37, 502 on our page.

3. How to find GCD of 286, 564, 37, 502 on a calculator?

You can find the GCD of 286, 564, 37, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.