GCD of 345, 936, 39, 485 Calculator

Given Input numbers are 345, 936, 39, 485

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

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 345, 936, 39, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 936, 39, 485 is 1.

Therefore, GCD of numbers 345, 936, 39, 485 is 1

Given Input Data is 345, 936, 39, 485

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 39 is 3 x 13

Prime Factorization of 485 is 5 x 97

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(345, 936) = 107640

GCD(345, 936) = ( 345 x 936 ) / 107640

GCD(345, 936) = 322920 / 107640

GCD(345, 936) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 39

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

LCM(3, 39) = 39

GCD(3, 39) = ( 3 x 39 ) / 39

GCD(3, 39) = 117 / 39

GCD(3, 39) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 485

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

LCM(3, 485) = 1455

GCD(3, 485) = ( 3 x 485 ) / 1455

GCD(3, 485) = 1455 / 1455

GCD(3, 485) = 1

GCD of 345, 936, 39, 485 is 1

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1. What is the GCD of 345, 936, 39, 485?

GCD of 345, 936, 39, 485 is 1

2. Where do I get the detailed procedure to find GCD of 345, 936, 39, 485?

You can find a detailed procedure to find GCD of 345, 936, 39, 485 on our page.

3. How to find GCD of 345, 936, 39, 485 on a calculator?

You can find the GCD of 345, 936, 39, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.