GCD of 592, 889, 296, 738 Calculator

Given Input numbers are 592, 889, 296, 738

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 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

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

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 592, 889, 296, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 889, 296, 738 is 1.

Therefore, GCD of numbers 592, 889, 296, 738 is 1

Given Input Data is 592, 889, 296, 738

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 889 is 7 x 127

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 738 is 2 x 3 x 3 x 41

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, 889) = 526288

GCD(592, 889) = ( 592 x 889 ) / 526288

GCD(592, 889) = 526288 / 526288

GCD(592, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

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

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 738

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

LCM(1, 738) = 738

GCD(1, 738) = ( 1 x 738 ) / 738

GCD(1, 738) = 738 / 738

GCD(1, 738) = 1

GCD of 592, 889, 296, 738 is 1

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1. What is the GCD of 592, 889, 296, 738?

GCD of 592, 889, 296, 738 is 1

2. Where do I get the detailed procedure to find GCD of 592, 889, 296, 738?

You can find a detailed procedure to find GCD of 592, 889, 296, 738 on our page.

3. How to find GCD of 592, 889, 296, 738 on a calculator?

You can find the GCD of 592, 889, 296, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.