GCD of 216, 107, 706, 889 Calculator

Given Input numbers are 216, 107, 706, 889

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

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 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Greatest Common Divisior

We found the divisors of 216, 107, 706, 889 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 107, 706, 889 is 1.

Therefore, GCD of numbers 216, 107, 706, 889 is 1

Given Input Data is 216, 107, 706, 889

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

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

Prime Factorization of 107 is 107

Prime Factorization of 706 is 2 x 353

Prime Factorization of 889 is 7 x 127

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(216, 107) = 23112

GCD(216, 107) = ( 216 x 107 ) / 23112

GCD(216, 107) = 23112 / 23112

GCD(216, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 889

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

LCM(1, 889) = 889

GCD(1, 889) = ( 1 x 889 ) / 889

GCD(1, 889) = 889 / 889

GCD(1, 889) = 1

GCD of 216, 107, 706, 889 is 1

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1. What is the GCD of 216, 107, 706, 889?

GCD of 216, 107, 706, 889 is 1

2. Where do I get the detailed procedure to find GCD of 216, 107, 706, 889?

You can find a detailed procedure to find GCD of 216, 107, 706, 889 on our page.

3. How to find GCD of 216, 107, 706, 889 on a calculator?

You can find the GCD of 216, 107, 706, 889 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.