GCD of 501, 240, 60, 515 Calculator

Given Input numbers are 501, 240, 60, 515

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Greatest Common Divisior

We found the divisors of 501, 240, 60, 515 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 240, 60, 515 is 1.

Therefore, GCD of numbers 501, 240, 60, 515 is 1

Given Input Data is 501, 240, 60, 515

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 515 is 5 x 103

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(501, 240) = 40080

GCD(501, 240) = ( 501 x 240 ) / 40080

GCD(501, 240) = 120240 / 40080

GCD(501, 240) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 60

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

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

GCD(3, 60) = 180 / 60

GCD(3, 60) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 515

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

LCM(3, 515) = 1545

GCD(3, 515) = ( 3 x 515 ) / 1545

GCD(3, 515) = 1545 / 1545

GCD(3, 515) = 1

GCD of 501, 240, 60, 515 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 519, 46, 824
• GCD of 346, 795, 55, 680
• GCD of 239, 460, 26, 396
• GCD of 434, 154, 78, 927
• GCD of 816, 737, 14, 406

1. What is the GCD of 501, 240, 60, 515?

GCD of 501, 240, 60, 515 is 1

2. Where do I get the detailed procedure to find GCD of 501, 240, 60, 515?

You can find a detailed procedure to find GCD of 501, 240, 60, 515 on our page.

3. How to find GCD of 501, 240, 60, 515 on a calculator?

You can find the GCD of 501, 240, 60, 515 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.