GCD of 415, 855, 20, 780 Calculator

Given Input numbers are 415, 855, 20, 780

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

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Greatest Common Divisior

We found the divisors of 415, 855, 20, 780 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 415, 855, 20, 780 is 5.

Therefore, GCD of numbers 415, 855, 20, 780 is 5

Given Input Data is 415, 855, 20, 780

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

Prime Factorization of 415 is 5 x 83

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(415, 855) = 70965

GCD(415, 855) = ( 415 x 855 ) / 70965

GCD(415, 855) = 354825 / 70965

GCD(415, 855) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 20

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

LCM(5, 20) = 20

GCD(5, 20) = ( 5 x 20 ) / 20

GCD(5, 20) = 100 / 20

GCD(5, 20) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 780

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

LCM(5, 780) = 780

GCD(5, 780) = ( 5 x 780 ) / 780

GCD(5, 780) = 3900 / 780

GCD(5, 780) = 5

GCD of 415, 855, 20, 780 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 882, 44, 643
• GCD of 208, 495, 81, 703
• GCD of 445, 529, 52, 143
• GCD of 493, 141, 71, 910
• GCD of 540, 175, 22, 621

1. What is the GCD of 415, 855, 20, 780?

GCD of 415, 855, 20, 780 is 5

2. Where do I get the detailed procedure to find GCD of 415, 855, 20, 780?

You can find a detailed procedure to find GCD of 415, 855, 20, 780 on our page.

3. How to find GCD of 415, 855, 20, 780 on a calculator?

You can find the GCD of 415, 855, 20, 780 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.