GCD of 502, 540, 87, 365 Calculator

Given Input numbers are 502, 540, 87, 365

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

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

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 502, 540, 87, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 502, 540, 87, 365 is 1.

Therefore, GCD of numbers 502, 540, 87, 365 is 1

Given Input Data is 502, 540, 87, 365

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

Prime Factorization of 502 is 2 x 251

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 87 is 3 x 29

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(502, 540) = 135540

GCD(502, 540) = ( 502 x 540 ) / 135540

GCD(502, 540) = 271080 / 135540

GCD(502, 540) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 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 502, 540, 87, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 368, 63, 972
• GCD of 892, 735, 64, 344
• GCD of 872, 967, 72, 978
• GCD of 530, 990, 42, 124
• GCD of 526, 336, 36, 901

1. What is the GCD of 502, 540, 87, 365?

GCD of 502, 540, 87, 365 is 1

2. Where do I get the detailed procedure to find GCD of 502, 540, 87, 365?

You can find a detailed procedure to find GCD of 502, 540, 87, 365 on our page.

3. How to find GCD of 502, 540, 87, 365 on a calculator?

You can find the GCD of 502, 540, 87, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.