GCD of 636, 956, 16, 849 Calculator

Given Input numbers are 636, 956, 16, 849

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 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Greatest Common Divisior

We found the divisors of 636, 956, 16, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 636, 956, 16, 849 is 1.

Therefore, GCD of numbers 636, 956, 16, 849 is 1

Given Input Data is 636, 956, 16, 849

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 956 is 2 x 2 x 239

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 849 is 3 x 283

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, 956) = 152004

GCD(636, 956) = ( 636 x 956 ) / 152004

GCD(636, 956) = 608016 / 152004

GCD(636, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 16

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

LCM(4, 16) = 16

GCD(4, 16) = ( 4 x 16 ) / 16

GCD(4, 16) = 64 / 16

GCD(4, 16) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 849

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

LCM(4, 849) = 3396

GCD(4, 849) = ( 4 x 849 ) / 3396

GCD(4, 849) = 3396 / 3396

GCD(4, 849) = 1

GCD of 636, 956, 16, 849 is 1

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1. What is the GCD of 636, 956, 16, 849?

GCD of 636, 956, 16, 849 is 1

2. Where do I get the detailed procedure to find GCD of 636, 956, 16, 849?

You can find a detailed procedure to find GCD of 636, 956, 16, 849 on our page.

3. How to find GCD of 636, 956, 16, 849 on a calculator?

You can find the GCD of 636, 956, 16, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.