GCD of 729, 221, 12, 970 Calculator

Given Input numbers are 729, 221, 12, 970

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

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 221

List of positive integer divisors of 221 that divides 221 without a remainder.

1, 13, 17, 221

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 729, 221, 12, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 729, 221, 12, 970 is 1.

Therefore, GCD of numbers 729, 221, 12, 970 is 1

Given Input Data is 729, 221, 12, 970

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

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 221 is 13 x 17

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 970 is 2 x 5 x 97

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(729, 221) = 161109

GCD(729, 221) = ( 729 x 221 ) / 161109

GCD(729, 221) = 161109 / 161109

GCD(729, 221) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 12

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

LCM(1, 12) = 12

GCD(1, 12) = ( 1 x 12 ) / 12

GCD(1, 12) = 12 / 12

GCD(1, 12) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 729, 221, 12, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 330, 36, 159
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• GCD of 902, 908, 83, 981

1. What is the GCD of 729, 221, 12, 970?

GCD of 729, 221, 12, 970 is 1

2. Where do I get the detailed procedure to find GCD of 729, 221, 12, 970?

You can find a detailed procedure to find GCD of 729, 221, 12, 970 on our page.

3. How to find GCD of 729, 221, 12, 970 on a calculator?

You can find the GCD of 729, 221, 12, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.