GCD of 721, 216, 566, 906 Calculator

Given Input numbers are 721, 216, 566, 906

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

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 566

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

1, 2, 283, 566

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 721, 216, 566, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 216, 566, 906 is 1.

Therefore, GCD of numbers 721, 216, 566, 906 is 1

Given Input Data is 721, 216, 566, 906

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

Prime Factorization of 721 is 7 x 103

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 566 is 2 x 283

Prime Factorization of 906 is 2 x 3 x 151

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(721, 216) = 155736

GCD(721, 216) = ( 721 x 216 ) / 155736

GCD(721, 216) = 155736 / 155736

GCD(721, 216) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

GCD of 721, 216, 566, 906 is 1

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1. What is the GCD of 721, 216, 566, 906?

GCD of 721, 216, 566, 906 is 1

2. Where do I get the detailed procedure to find GCD of 721, 216, 566, 906?

You can find a detailed procedure to find GCD of 721, 216, 566, 906 on our page.

3. How to find GCD of 721, 216, 566, 906 on a calculator?

You can find the GCD of 721, 216, 566, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.