GCD of 590, 117, 65, 578 Calculator

Given Input numbers are 590, 117, 65, 578

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

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 590, 117, 65, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 590, 117, 65, 578 is 1.

Therefore, GCD of numbers 590, 117, 65, 578 is 1

Given Input Data is 590, 117, 65, 578

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

Prime Factorization of 590 is 2 x 5 x 59

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 578 is 2 x 17 x 17

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(590, 117) = 69030

GCD(590, 117) = ( 590 x 117 ) / 69030

GCD(590, 117) = 69030 / 69030

GCD(590, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 590, 117, 65, 578 is 1

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1. What is the GCD of 590, 117, 65, 578?

GCD of 590, 117, 65, 578 is 1

2. Where do I get the detailed procedure to find GCD of 590, 117, 65, 578?

You can find a detailed procedure to find GCD of 590, 117, 65, 578 on our page.

3. How to find GCD of 590, 117, 65, 578 on a calculator?

You can find the GCD of 590, 117, 65, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.