GCD of 36, 446, 952, 849 Calculator

Given Input numbers are 36, 446, 952, 849

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

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

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 36, 446, 952, 849 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 446, 952, 849 is 1.

Therefore, GCD of numbers 36, 446, 952, 849 is 1

Given Input Data is 36, 446, 952, 849

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

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

Prime Factorization of 446 is 2 x 223

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

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(36, 446) = 8028

GCD(36, 446) = ( 36 x 446 ) / 8028

GCD(36, 446) = 16056 / 8028

GCD(36, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 849

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

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

GCD(2, 849) = 1698 / 1698

GCD(2, 849) = 1

GCD of 36, 446, 952, 849 is 1

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1. What is the GCD of 36, 446, 952, 849?

GCD of 36, 446, 952, 849 is 1

2. Where do I get the detailed procedure to find GCD of 36, 446, 952, 849?

You can find a detailed procedure to find GCD of 36, 446, 952, 849 on our page.

3. How to find GCD of 36, 446, 952, 849 on a calculator?

You can find the GCD of 36, 446, 952, 849 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.