GCD of 215, 767, 200, 566 Calculator

Given Input numbers are 215, 767, 200, 566

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

Divisors of 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

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 566

List of positive integer divisors of 566 that divides 566 without a remainder.

1, 2, 283, 566

Greatest Common Divisior

We found the divisors of 215, 767, 200, 566 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 215, 767, 200, 566 is 1.

Therefore, GCD of numbers 215, 767, 200, 566 is 1

Given Input Data is 215, 767, 200, 566

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

Prime Factorization of 215 is 5 x 43

Prime Factorization of 767 is 13 x 59

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

Prime Factorization of 566 is 2 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(215, 767) = 164905

GCD(215, 767) = ( 215 x 767 ) / 164905

GCD(215, 767) = 164905 / 164905

GCD(215, 767) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 566

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

LCM(1, 566) = 566

GCD(1, 566) = ( 1 x 566 ) / 566

GCD(1, 566) = 566 / 566

GCD(1, 566) = 1

GCD of 215, 767, 200, 566 is 1

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1. What is the GCD of 215, 767, 200, 566?

GCD of 215, 767, 200, 566 is 1

2. Where do I get the detailed procedure to find GCD of 215, 767, 200, 566?

You can find a detailed procedure to find GCD of 215, 767, 200, 566 on our page.

3. How to find GCD of 215, 767, 200, 566 on a calculator?

You can find the GCD of 215, 767, 200, 566 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.