GCD of 193, 100, 580 Calculator

Given Input numbers are 193, 100, 580

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

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

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 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 193, 100, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 193, 100, 580 is 1.

Therefore, GCD of numbers 193, 100, 580 is 1

Given Input Data is 193, 100, 580

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

Prime Factorization of 193 is 193

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(193, 100) = 19300

GCD(193, 100) = ( 193 x 100 ) / 19300

GCD(193, 100) = 19300 / 19300

GCD(193, 100) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 193, 100, 580 is 1

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1. What is the GCD of 193, 100, 580?

GCD of 193, 100, 580 is 1

2. Where do I get the detailed procedure to find GCD of 193, 100, 580?

You can find a detailed procedure to find GCD of 193, 100, 580 on our page.

3. How to find GCD of 193, 100, 580 on a calculator?

You can find the GCD of 193, 100, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.