GCD of 592, 354, 164, 733 Calculator

Given Input numbers are 592, 354, 164, 733

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 592, 354, 164, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 354, 164, 733 is 1.

Therefore, GCD of numbers 592, 354, 164, 733 is 1

Given Input Data is 592, 354, 164, 733

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 354 is 2 x 3 x 59

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 733 is 733

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, 354) = 104784

GCD(592, 354) = ( 592 x 354 ) / 104784

GCD(592, 354) = 209568 / 104784

GCD(592, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 733

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

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

GCD(2, 733) = 1466 / 1466

GCD(2, 733) = 1

GCD of 592, 354, 164, 733 is 1

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1. What is the GCD of 592, 354, 164, 733?

GCD of 592, 354, 164, 733 is 1

2. Where do I get the detailed procedure to find GCD of 592, 354, 164, 733?

You can find a detailed procedure to find GCD of 592, 354, 164, 733 on our page.

3. How to find GCD of 592, 354, 164, 733 on a calculator?

You can find the GCD of 592, 354, 164, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.