GCD of 930, 807, 74, 589 Calculator

Given Input numbers are 930, 807, 74, 589

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 589

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

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 930, 807, 74, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 807, 74, 589 is 1.

Therefore, GCD of numbers 930, 807, 74, 589 is 1

Given Input Data is 930, 807, 74, 589

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 807 is 3 x 269

Prime Factorization of 74 is 2 x 37

Prime Factorization of 589 is 19 x 31

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(930, 807) = 250170

GCD(930, 807) = ( 930 x 807 ) / 250170

GCD(930, 807) = 750510 / 250170

GCD(930, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 930, 807, 74, 589 is 1

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1. What is the GCD of 930, 807, 74, 589?

GCD of 930, 807, 74, 589 is 1

2. Where do I get the detailed procedure to find GCD of 930, 807, 74, 589?

You can find a detailed procedure to find GCD of 930, 807, 74, 589 on our page.

3. How to find GCD of 930, 807, 74, 589 on a calculator?

You can find the GCD of 930, 807, 74, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.