GCD of 78, 909, 585, 236 Calculator

Given Input numbers are 78, 909, 585, 236

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

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 78, 909, 585, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 909, 585, 236 is 1.

Therefore, GCD of numbers 78, 909, 585, 236 is 1

Given Input Data is 78, 909, 585, 236

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 236 is 2 x 2 x 59

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(78, 909) = 23634

GCD(78, 909) = ( 78 x 909 ) / 23634

GCD(78, 909) = 70902 / 23634

GCD(78, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 585

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

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

GCD(3, 585) = 1755 / 585

GCD(3, 585) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 236

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

LCM(3, 236) = 708

GCD(3, 236) = ( 3 x 236 ) / 708

GCD(3, 236) = 708 / 708

GCD(3, 236) = 1

GCD of 78, 909, 585, 236 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 81, 133, 346, 888
• GCD of 10, 593, 517, 125
• GCD of 29, 383, 908, 329
• GCD of 37, 323, 767, 913
• GCD of 65, 370, 272, 696

1. What is the GCD of 78, 909, 585, 236?

GCD of 78, 909, 585, 236 is 1

2. Where do I get the detailed procedure to find GCD of 78, 909, 585, 236?

You can find a detailed procedure to find GCD of 78, 909, 585, 236 on our page.

3. How to find GCD of 78, 909, 585, 236 on a calculator?

You can find the GCD of 78, 909, 585, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.