GCD of 582, 100, 61, 307 Calculator

Given Input numbers are 582, 100, 61, 307

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 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 582, 100, 61, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 100, 61, 307 is 1.

Therefore, GCD of numbers 582, 100, 61, 307 is 1

Given Input Data is 582, 100, 61, 307

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 100 is 2 x 2 x 5 x 5

Prime Factorization of 61 is 61

Prime Factorization of 307 is 307

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, 100) = 29100

GCD(582, 100) = ( 582 x 100 ) / 29100

GCD(582, 100) = 58200 / 29100

GCD(582, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 582, 100, 61, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 853, 12, 326
• GCD of 151, 473, 35, 610
• GCD of 859, 566, 61, 864
• GCD of 880, 316, 61, 140
• GCD of 903, 384, 13, 703

1. What is the GCD of 582, 100, 61, 307?

GCD of 582, 100, 61, 307 is 1

2. Where do I get the detailed procedure to find GCD of 582, 100, 61, 307?

You can find a detailed procedure to find GCD of 582, 100, 61, 307 on our page.

3. How to find GCD of 582, 100, 61, 307 on a calculator?

You can find the GCD of 582, 100, 61, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.