GCD of 105, 506, 36 Calculator

Given Input numbers are 105, 506, 36

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Greatest Common Divisior

We found the divisors of 105, 506, 36 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 506, 36 is 1.

Therefore, GCD of numbers 105, 506, 36 is 1

Given Input Data is 105, 506, 36

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 36 is 2 x 2 x 3 x 3

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(105, 506) = 53130

GCD(105, 506) = ( 105 x 506 ) / 53130

GCD(105, 506) = 53130 / 53130

GCD(105, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

GCD of 105, 506, 36 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 105, 506, 36?

GCD of 105, 506, 36 is 1

2. Where do I get the detailed procedure to find GCD of 105, 506, 36?

You can find a detailed procedure to find GCD of 105, 506, 36 on our page.

3. How to find GCD of 105, 506, 36 on a calculator?

You can find the GCD of 105, 506, 36 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.