GCD of 520, 164, 159, 365 Calculator

Given Input numbers are 520, 164, 159, 365

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 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 520, 164, 159, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 520, 164, 159, 365 is 1.

Therefore, GCD of numbers 520, 164, 159, 365 is 1

Given Input Data is 520, 164, 159, 365

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 164 is 2 x 2 x 41

Prime Factorization of 159 is 3 x 53

Prime Factorization of 365 is 5 x 73

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(520, 164) = 21320

GCD(520, 164) = ( 520 x 164 ) / 21320

GCD(520, 164) = 85280 / 21320

GCD(520, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 159

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

LCM(4, 159) = 636

GCD(4, 159) = ( 4 x 159 ) / 636

GCD(4, 159) = 636 / 636

GCD(4, 159) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 520, 164, 159, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 898, 137, 727
• GCD of 187, 533, 530, 680
• GCD of 288, 233, 268, 728
• GCD of 382, 230, 157, 387
• GCD of 814, 769, 768, 326

1. What is the GCD of 520, 164, 159, 365?

GCD of 520, 164, 159, 365 is 1

2. Where do I get the detailed procedure to find GCD of 520, 164, 159, 365?

You can find a detailed procedure to find GCD of 520, 164, 159, 365 on our page.

3. How to find GCD of 520, 164, 159, 365 on a calculator?

You can find the GCD of 520, 164, 159, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.