GCD of 586, 974, 19, 120 Calculator

Given Input numbers are 586, 974, 19, 120

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 586, 974, 19, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 974, 19, 120 is 1.

Therefore, GCD of numbers 586, 974, 19, 120 is 1

Given Input Data is 586, 974, 19, 120

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 974 is 2 x 487

Prime Factorization of 19 is 19

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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(586, 974) = 285382

GCD(586, 974) = ( 586 x 974 ) / 285382

GCD(586, 974) = 570764 / 285382

GCD(586, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 120

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

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

GCD(1, 120) = 120 / 120

GCD(1, 120) = 1

GCD of 586, 974, 19, 120 is 1

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1. What is the GCD of 586, 974, 19, 120?

GCD of 586, 974, 19, 120 is 1

2. Where do I get the detailed procedure to find GCD of 586, 974, 19, 120?

You can find a detailed procedure to find GCD of 586, 974, 19, 120 on our page.

3. How to find GCD of 586, 974, 19, 120 on a calculator?

You can find the GCD of 586, 974, 19, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.