GCD of 636, 113, 286, 505 Calculator

Given Input numbers are 636, 113, 286, 505

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

Divisors of 636

List of positive integer divisors of 636 that divides 636 without a remainder.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

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 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Greatest Common Divisior

We found the divisors of 636, 113, 286, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 113, 286, 505 is 1.

Therefore, GCD of numbers 636, 113, 286, 505 is 1

Given Input Data is 636, 113, 286, 505

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

Prime Factorization of 636 is 2 x 2 x 3 x 53

Prime Factorization of 113 is 113

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 505 is 5 x 101

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(636, 113) = 71868

GCD(636, 113) = ( 636 x 113 ) / 71868

GCD(636, 113) = 71868 / 71868

GCD(636, 113) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

GCD of 636, 113, 286, 505 is 1

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1. What is the GCD of 636, 113, 286, 505?

GCD of 636, 113, 286, 505 is 1

2. Where do I get the detailed procedure to find GCD of 636, 113, 286, 505?

You can find a detailed procedure to find GCD of 636, 113, 286, 505 on our page.

3. How to find GCD of 636, 113, 286, 505 on a calculator?

You can find the GCD of 636, 113, 286, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.