GCD of 362, 905, 200, 966 Calculator

Given Input numbers are 362, 905, 200, 966

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 362, 905, 200, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 905, 200, 966 is 1.

Therefore, GCD of numbers 362, 905, 200, 966 is 1

Given Input Data is 362, 905, 200, 966

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 905 is 5 x 181

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(362, 905) = 1810

GCD(362, 905) = ( 362 x 905 ) / 1810

GCD(362, 905) = 327610 / 1810

GCD(362, 905) = 181

Step2:

Here we consider the GCD from the above i.e. 181 as first number and the next as 200

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

LCM(181, 200) = 36200

GCD(181, 200) = ( 181 x 200 ) / 36200

GCD(181, 200) = 36200 / 36200

GCD(181, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 966

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

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

GCD(1, 966) = 966 / 966

GCD(1, 966) = 1

GCD of 362, 905, 200, 966 is 1

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1. What is the GCD of 362, 905, 200, 966?

GCD of 362, 905, 200, 966 is 1

2. Where do I get the detailed procedure to find GCD of 362, 905, 200, 966?

You can find a detailed procedure to find GCD of 362, 905, 200, 966 on our page.

3. How to find GCD of 362, 905, 200, 966 on a calculator?

You can find the GCD of 362, 905, 200, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.