GCD of 200, 212, 983, 613 Calculator

Given Input numbers are 200, 212, 983, 613

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

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 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 983

List of positive integer divisors of 983 that divides 983 without a remainder.

1, 983

Divisors of 613

List of positive integer divisors of 613 that divides 613 without a remainder.

1, 613

Greatest Common Divisior

We found the divisors of 200, 212, 983, 613 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 212, 983, 613 is 1.

Therefore, GCD of numbers 200, 212, 983, 613 is 1

Given Input Data is 200, 212, 983, 613

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

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

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 983 is 983

Prime Factorization of 613 is 613

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(200, 212) = 10600

GCD(200, 212) = ( 200 x 212 ) / 10600

GCD(200, 212) = 42400 / 10600

GCD(200, 212) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 983

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

LCM(4, 983) = 3932

GCD(4, 983) = ( 4 x 983 ) / 3932

GCD(4, 983) = 3932 / 3932

GCD(4, 983) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 613

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

LCM(1, 613) = 613

GCD(1, 613) = ( 1 x 613 ) / 613

GCD(1, 613) = 613 / 613

GCD(1, 613) = 1

GCD of 200, 212, 983, 613 is 1

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1. What is the GCD of 200, 212, 983, 613?

GCD of 200, 212, 983, 613 is 1

2. Where do I get the detailed procedure to find GCD of 200, 212, 983, 613?

You can find a detailed procedure to find GCD of 200, 212, 983, 613 on our page.

3. How to find GCD of 200, 212, 983, 613 on a calculator?

You can find the GCD of 200, 212, 983, 613 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.