GCD of 845, 523, 462, 345 Calculator

Given Input numbers are 845, 523, 462, 345

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

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 462

List of positive integer divisors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 345

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

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

Greatest Common Divisior

We found the divisors of 845, 523, 462, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 845, 523, 462, 345 is 1.

Therefore, GCD of numbers 845, 523, 462, 345 is 1

Given Input Data is 845, 523, 462, 345

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

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 523 is 523

Prime Factorization of 462 is 2 x 3 x 7 x 11

Prime Factorization of 345 is 3 x 5 x 23

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(845, 523) = 441935

GCD(845, 523) = ( 845 x 523 ) / 441935

GCD(845, 523) = 441935 / 441935

GCD(845, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 462

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

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

GCD(1, 462) = 462 / 462

GCD(1, 462) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 845, 523, 462, 345 is 1

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1. What is the GCD of 845, 523, 462, 345?

GCD of 845, 523, 462, 345 is 1

2. Where do I get the detailed procedure to find GCD of 845, 523, 462, 345?

You can find a detailed procedure to find GCD of 845, 523, 462, 345 on our page.

3. How to find GCD of 845, 523, 462, 345 on a calculator?

You can find the GCD of 845, 523, 462, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.