GCD of 744, 589, 60, 834 Calculator

Given Input numbers are 744, 589, 60, 834

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

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 834

List of positive integer divisors of 834 that divides 834 without a remainder.

1, 2, 3, 6, 139, 278, 417, 834

Greatest Common Divisior

We found the divisors of 744, 589, 60, 834 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 744, 589, 60, 834 is 1.

Therefore, GCD of numbers 744, 589, 60, 834 is 1

Given Input Data is 744, 589, 60, 834

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

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 589 is 19 x 31

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 834 is 2 x 3 x 139

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(744, 589) = 14136

GCD(744, 589) = ( 744 x 589 ) / 14136

GCD(744, 589) = 438216 / 14136

GCD(744, 589) = 31

Step2:

Here we consider the GCD from the above i.e. 31 as first number and the next as 60

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

LCM(31, 60) = 1860

GCD(31, 60) = ( 31 x 60 ) / 1860

GCD(31, 60) = 1860 / 1860

GCD(31, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 834

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

LCM(1, 834) = 834

GCD(1, 834) = ( 1 x 834 ) / 834

GCD(1, 834) = 834 / 834

GCD(1, 834) = 1

GCD of 744, 589, 60, 834 is 1

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1. What is the GCD of 744, 589, 60, 834?

GCD of 744, 589, 60, 834 is 1

2. Where do I get the detailed procedure to find GCD of 744, 589, 60, 834?

You can find a detailed procedure to find GCD of 744, 589, 60, 834 on our page.

3. How to find GCD of 744, 589, 60, 834 on a calculator?

You can find the GCD of 744, 589, 60, 834 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.