GCD of 200, 745, 32, 567 Calculator

Given Input numbers are 200, 745, 32, 567

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 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 200, 745, 32, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 745, 32, 567 is 1.

Therefore, GCD of numbers 200, 745, 32, 567 is 1

Given Input Data is 200, 745, 32, 567

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 745 is 5 x 149

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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, 745) = 29800

GCD(200, 745) = ( 200 x 745 ) / 29800

GCD(200, 745) = 149000 / 29800

GCD(200, 745) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 32

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

LCM(5, 32) = 160

GCD(5, 32) = ( 5 x 32 ) / 160

GCD(5, 32) = 160 / 160

GCD(5, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 200, 745, 32, 567 is 1

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1. What is the GCD of 200, 745, 32, 567?

GCD of 200, 745, 32, 567 is 1

2. Where do I get the detailed procedure to find GCD of 200, 745, 32, 567?

You can find a detailed procedure to find GCD of 200, 745, 32, 567 on our page.

3. How to find GCD of 200, 745, 32, 567 on a calculator?

You can find the GCD of 200, 745, 32, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.