GCD of 345, 964, 324, 398 Calculator

Given Input numbers are 345, 964, 324, 398

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 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 345, 964, 324, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 964, 324, 398 is 1.

Therefore, GCD of numbers 345, 964, 324, 398 is 1

Given Input Data is 345, 964, 324, 398

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 964 is 2 x 2 x 241

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 398 is 2 x 199

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, 964) = 332580

GCD(345, 964) = ( 345 x 964 ) / 332580

GCD(345, 964) = 332580 / 332580

GCD(345, 964) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 345, 964, 324, 398 is 1

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1. What is the GCD of 345, 964, 324, 398?

GCD of 345, 964, 324, 398 is 1

2. Where do I get the detailed procedure to find GCD of 345, 964, 324, 398?

You can find a detailed procedure to find GCD of 345, 964, 324, 398 on our page.

3. How to find GCD of 345, 964, 324, 398 on a calculator?

You can find the GCD of 345, 964, 324, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.