GCD of 258, 600, 82, 623 Calculator

Given Input numbers are 258, 600, 82, 623

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Greatest Common Divisior

We found the divisors of 258, 600, 82, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 600, 82, 623 is 1.

Therefore, GCD of numbers 258, 600, 82, 623 is 1

Given Input Data is 258, 600, 82, 623

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 82 is 2 x 41

Prime Factorization of 623 is 7 x 89

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(258, 600) = 25800

GCD(258, 600) = ( 258 x 600 ) / 25800

GCD(258, 600) = 154800 / 25800

GCD(258, 600) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 82

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

LCM(6, 82) = 246

GCD(6, 82) = ( 6 x 82 ) / 246

GCD(6, 82) = 492 / 246

GCD(6, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 623

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

LCM(2, 623) = 1246

GCD(2, 623) = ( 2 x 623 ) / 1246

GCD(2, 623) = 1246 / 1246

GCD(2, 623) = 1

GCD of 258, 600, 82, 623 is 1

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• GCD of 902, 388, 24, 817
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1. What is the GCD of 258, 600, 82, 623?

GCD of 258, 600, 82, 623 is 1

2. Where do I get the detailed procedure to find GCD of 258, 600, 82, 623?

You can find a detailed procedure to find GCD of 258, 600, 82, 623 on our page.

3. How to find GCD of 258, 600, 82, 623 on a calculator?

You can find the GCD of 258, 600, 82, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.