GCD of 200, 636, 67, 730 Calculator

Given Input numbers are 200, 636, 67, 730

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 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 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 200, 636, 67, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 636, 67, 730 is 1.

Therefore, GCD of numbers 200, 636, 67, 730 is 1

Given Input Data is 200, 636, 67, 730

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 636 is 2 x 2 x 3 x 53

Prime Factorization of 67 is 67

Prime Factorization of 730 is 2 x 5 x 73

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, 636) = 31800

GCD(200, 636) = ( 200 x 636 ) / 31800

GCD(200, 636) = 127200 / 31800

GCD(200, 636) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 67

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

LCM(4, 67) = 268

GCD(4, 67) = ( 4 x 67 ) / 268

GCD(4, 67) = 268 / 268

GCD(4, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 730

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

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

GCD(1, 730) = 730 / 730

GCD(1, 730) = 1

GCD of 200, 636, 67, 730 is 1

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1. What is the GCD of 200, 636, 67, 730?

GCD of 200, 636, 67, 730 is 1

2. Where do I get the detailed procedure to find GCD of 200, 636, 67, 730?

You can find a detailed procedure to find GCD of 200, 636, 67, 730 on our page.

3. How to find GCD of 200, 636, 67, 730 on a calculator?

You can find the GCD of 200, 636, 67, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.