GCD of 108, 440, 69, 596 Calculator

Given Input numbers are 108, 440, 69, 596

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

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 108, 440, 69, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 108, 440, 69, 596 is 1.

Therefore, GCD of numbers 108, 440, 69, 596 is 1

Given Input Data is 108, 440, 69, 596

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

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 596 is 2 x 2 x 149

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(108, 440) = 11880

GCD(108, 440) = ( 108 x 440 ) / 11880

GCD(108, 440) = 47520 / 11880

GCD(108, 440) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 69

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

LCM(4, 69) = 276

GCD(4, 69) = ( 4 x 69 ) / 276

GCD(4, 69) = 276 / 276

GCD(4, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 108, 440, 69, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 116, 50, 885
• GCD of 500, 617, 28, 756
• GCD of 652, 285, 15, 288
• GCD of 205, 202, 48, 151
• GCD of 904, 655, 32, 764

1. What is the GCD of 108, 440, 69, 596?

GCD of 108, 440, 69, 596 is 1

2. Where do I get the detailed procedure to find GCD of 108, 440, 69, 596?

You can find a detailed procedure to find GCD of 108, 440, 69, 596 on our page.

3. How to find GCD of 108, 440, 69, 596 on a calculator?

You can find the GCD of 108, 440, 69, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.