GCD of 216, 312, 913, 694 Calculator

Given Input numbers are 216, 312, 913, 694

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 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 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 216, 312, 913, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 216, 312, 913, 694 is 1.

Therefore, GCD of numbers 216, 312, 913, 694 is 1

Given Input Data is 216, 312, 913, 694

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 913 is 11 x 83

Prime Factorization of 694 is 2 x 347

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, 312) = 2808

GCD(216, 312) = ( 216 x 312 ) / 2808

GCD(216, 312) = 67392 / 2808

GCD(216, 312) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 913

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

LCM(24, 913) = 21912

GCD(24, 913) = ( 24 x 913 ) / 21912

GCD(24, 913) = 21912 / 21912

GCD(24, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 216, 312, 913, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 588, 560, 555
• GCD of 810, 694, 652, 971
• GCD of 196, 940, 528, 886
• GCD of 343, 565, 604, 233
• GCD of 332, 819, 944, 209

1. What is the GCD of 216, 312, 913, 694?

GCD of 216, 312, 913, 694 is 1

2. Where do I get the detailed procedure to find GCD of 216, 312, 913, 694?

You can find a detailed procedure to find GCD of 216, 312, 913, 694 on our page.

3. How to find GCD of 216, 312, 913, 694 on a calculator?

You can find the GCD of 216, 312, 913, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.