GCD of 159, 704, 37, 598 Calculator

Given Input numbers are 159, 704, 37, 598

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 159, 704, 37, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 704, 37, 598 is 1.

Therefore, GCD of numbers 159, 704, 37, 598 is 1

Given Input Data is 159, 704, 37, 598

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 37 is 37

Prime Factorization of 598 is 2 x 13 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(159, 704) = 111936

GCD(159, 704) = ( 159 x 704 ) / 111936

GCD(159, 704) = 111936 / 111936

GCD(159, 704) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 159, 704, 37, 598 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 268, 74, 450
• GCD of 735, 905, 65, 604
• GCD of 863, 991, 73, 343
• GCD of 920, 590, 38, 300
• GCD of 126, 160, 20, 959

1. What is the GCD of 159, 704, 37, 598?

GCD of 159, 704, 37, 598 is 1

2. Where do I get the detailed procedure to find GCD of 159, 704, 37, 598?

You can find a detailed procedure to find GCD of 159, 704, 37, 598 on our page.

3. How to find GCD of 159, 704, 37, 598 on a calculator?

You can find the GCD of 159, 704, 37, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.