GCD of 54, 387, 717, 836 Calculator

Given Input numbers are 54, 387, 717, 836

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Greatest Common Divisior

We found the divisors of 54, 387, 717, 836 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 387, 717, 836 is 1.

Therefore, GCD of numbers 54, 387, 717, 836 is 1

Given Input Data is 54, 387, 717, 836

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 717 is 3 x 239

Prime Factorization of 836 is 2 x 2 x 11 x 19

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(54, 387) = 2322

GCD(54, 387) = ( 54 x 387 ) / 2322

GCD(54, 387) = 20898 / 2322

GCD(54, 387) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 717

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

LCM(9, 717) = 2151

GCD(9, 717) = ( 9 x 717 ) / 2151

GCD(9, 717) = 6453 / 2151

GCD(9, 717) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 836

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

LCM(3, 836) = 2508

GCD(3, 836) = ( 3 x 836 ) / 2508

GCD(3, 836) = 2508 / 2508

GCD(3, 836) = 1

GCD of 54, 387, 717, 836 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 71, 140, 328, 143
• GCD of 88, 762, 379, 907
• GCD of 35, 601, 245, 200
• GCD of 43, 500, 847, 904
• GCD of 25, 157, 725, 105

1. What is the GCD of 54, 387, 717, 836?

GCD of 54, 387, 717, 836 is 1

2. Where do I get the detailed procedure to find GCD of 54, 387, 717, 836?

You can find a detailed procedure to find GCD of 54, 387, 717, 836 on our page.

3. How to find GCD of 54, 387, 717, 836 on a calculator?

You can find the GCD of 54, 387, 717, 836 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.