GCD of 582, 606, 500, 117 Calculator

Given Input numbers are 582, 606, 500, 117

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

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 117

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

1, 3, 9, 13, 39, 117

Greatest Common Divisior

We found the divisors of 582, 606, 500, 117 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 606, 500, 117 is 1.

Therefore, GCD of numbers 582, 606, 500, 117 is 1

Given Input Data is 582, 606, 500, 117

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 606 is 2 x 3 x 101

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 117 is 3 x 3 x 13

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(582, 606) = 58782

GCD(582, 606) = ( 582 x 606 ) / 58782

GCD(582, 606) = 352692 / 58782

GCD(582, 606) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 500

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

LCM(6, 500) = 1500

GCD(6, 500) = ( 6 x 500 ) / 1500

GCD(6, 500) = 3000 / 1500

GCD(6, 500) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 117

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

LCM(2, 117) = 234

GCD(2, 117) = ( 2 x 117 ) / 234

GCD(2, 117) = 234 / 234

GCD(2, 117) = 1

GCD of 582, 606, 500, 117 is 1

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• GCD of 607, 444, 886, 754
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1. What is the GCD of 582, 606, 500, 117?

GCD of 582, 606, 500, 117 is 1

2. Where do I get the detailed procedure to find GCD of 582, 606, 500, 117?

You can find a detailed procedure to find GCD of 582, 606, 500, 117 on our page.

3. How to find GCD of 582, 606, 500, 117 on a calculator?

You can find the GCD of 582, 606, 500, 117 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.