GCD of 592, 345, 338, 240 Calculator

Given Input numbers are 592, 345, 338, 240

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Greatest Common Divisior

We found the divisors of 592, 345, 338, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 345, 338, 240 is 1.

Therefore, GCD of numbers 592, 345, 338, 240 is 1

Given Input Data is 592, 345, 338, 240

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

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(592, 345) = 204240

GCD(592, 345) = ( 592 x 345 ) / 204240

GCD(592, 345) = 204240 / 204240

GCD(592, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 240

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

LCM(1, 240) = 240

GCD(1, 240) = ( 1 x 240 ) / 240

GCD(1, 240) = 240 / 240

GCD(1, 240) = 1

GCD of 592, 345, 338, 240 is 1

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1. What is the GCD of 592, 345, 338, 240?

GCD of 592, 345, 338, 240 is 1

2. Where do I get the detailed procedure to find GCD of 592, 345, 338, 240?

You can find a detailed procedure to find GCD of 592, 345, 338, 240 on our page.

3. How to find GCD of 592, 345, 338, 240 on a calculator?

You can find the GCD of 592, 345, 338, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.