GCD of 345, 185, 405, 906 Calculator

Given Input numbers are 345, 185, 405, 906

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 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Greatest Common Divisior

We found the divisors of 345, 185, 405, 906 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 185, 405, 906 is 1.

Therefore, GCD of numbers 345, 185, 405, 906 is 1

Given Input Data is 345, 185, 405, 906

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 185 is 5 x 37

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 906 is 2 x 3 x 151

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, 185) = 12765

GCD(345, 185) = ( 345 x 185 ) / 12765

GCD(345, 185) = 63825 / 12765

GCD(345, 185) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 405

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

LCM(5, 405) = 405

GCD(5, 405) = ( 5 x 405 ) / 405

GCD(5, 405) = 2025 / 405

GCD(5, 405) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 906

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

LCM(5, 906) = 4530

GCD(5, 906) = ( 5 x 906 ) / 4530

GCD(5, 906) = 4530 / 4530

GCD(5, 906) = 1

GCD of 345, 185, 405, 906 is 1

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1. What is the GCD of 345, 185, 405, 906?

GCD of 345, 185, 405, 906 is 1

2. Where do I get the detailed procedure to find GCD of 345, 185, 405, 906?

You can find a detailed procedure to find GCD of 345, 185, 405, 906 on our page.

3. How to find GCD of 345, 185, 405, 906 on a calculator?

You can find the GCD of 345, 185, 405, 906 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.