GCD of 219, 312, 13, 970 Calculator

Given Input numbers are 219, 312, 13, 970

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

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 219, 312, 13, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 312, 13, 970 is 1.

Therefore, GCD of numbers 219, 312, 13, 970 is 1

Given Input Data is 219, 312, 13, 970

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 13 is 13

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(219, 312) = 22776

GCD(219, 312) = ( 219 x 312 ) / 22776

GCD(219, 312) = 68328 / 22776

GCD(219, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 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 219, 312, 13, 970 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 971, 45, 413
• GCD of 731, 123, 27, 813
• GCD of 970, 209, 21, 146
• GCD of 604, 949, 79, 575
• GCD of 789, 154, 89, 110

1. What is the GCD of 219, 312, 13, 970?

GCD of 219, 312, 13, 970 is 1

2. Where do I get the detailed procedure to find GCD of 219, 312, 13, 970?

You can find a detailed procedure to find GCD of 219, 312, 13, 970 on our page.

3. How to find GCD of 219, 312, 13, 970 on a calculator?

You can find the GCD of 219, 312, 13, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.