GCD of 516, 355, 50, 900 Calculator

Given Input numbers are 516, 355, 50, 900

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 516, 355, 50, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 355, 50, 900 is 1.

Therefore, GCD of numbers 516, 355, 50, 900 is 1

Given Input Data is 516, 355, 50, 900

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 355 is 5 x 71

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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(516, 355) = 183180

GCD(516, 355) = ( 516 x 355 ) / 183180

GCD(516, 355) = 183180 / 183180

GCD(516, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 516, 355, 50, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 848, 32, 325
• GCD of 734, 955, 91, 462
• GCD of 745, 680, 59, 500
• GCD of 965, 232, 31, 778
• GCD of 545, 189, 81, 835

1. What is the GCD of 516, 355, 50, 900?

GCD of 516, 355, 50, 900 is 1

2. Where do I get the detailed procedure to find GCD of 516, 355, 50, 900?

You can find a detailed procedure to find GCD of 516, 355, 50, 900 on our page.

3. How to find GCD of 516, 355, 50, 900 on a calculator?

You can find the GCD of 516, 355, 50, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.