GCD of 520, 284, 72, 108 Calculator

Given Input numbers are 520, 284, 72, 108

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

Divisors of 520

List of positive integer divisors of 520 that divides 520 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

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

Greatest Common Divisior

We found the divisors of 520, 284, 72, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 284, 72, 108 is 4.

Therefore, GCD of numbers 520, 284, 72, 108 is 4

Given Input Data is 520, 284, 72, 108

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

Prime Factorization of 520 is 2 x 2 x 2 x 5 x 13

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(520, 284) = 36920

GCD(520, 284) = ( 520 x 284 ) / 36920

GCD(520, 284) = 147680 / 36920

GCD(520, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 108

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

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

GCD(4, 108) = 432 / 108

GCD(4, 108) = 4

GCD of 520, 284, 72, 108 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 770, 19, 165
• GCD of 827, 949, 10, 717
• GCD of 343, 794, 35, 981
• GCD of 704, 784, 26, 692
• GCD of 986, 187, 63, 480

1. What is the GCD of 520, 284, 72, 108?

GCD of 520, 284, 72, 108 is 4

2. Where do I get the detailed procedure to find GCD of 520, 284, 72, 108?

You can find a detailed procedure to find GCD of 520, 284, 72, 108 on our page.

3. How to find GCD of 520, 284, 72, 108 on a calculator?

You can find the GCD of 520, 284, 72, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.