GCD of 644, 387, 361, 345 Calculator

Given Input numbers are 644, 387, 361, 345

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

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 387

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

1, 3, 9, 43, 129, 387

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

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 644, 387, 361, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 644, 387, 361, 345 is 1.

Therefore, GCD of numbers 644, 387, 361, 345 is 1

Given Input Data is 644, 387, 361, 345

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

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 361 is 19 x 19

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(644, 387) = 249228

GCD(644, 387) = ( 644 x 387 ) / 249228

GCD(644, 387) = 249228 / 249228

GCD(644, 387) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 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 644, 387, 361, 345 is 1

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1. What is the GCD of 644, 387, 361, 345?

GCD of 644, 387, 361, 345 is 1

2. Where do I get the detailed procedure to find GCD of 644, 387, 361, 345?

You can find a detailed procedure to find GCD of 644, 387, 361, 345 on our page.

3. How to find GCD of 644, 387, 361, 345 on a calculator?

You can find the GCD of 644, 387, 361, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.