GCD of 381, 153, 580, 623 Calculator

Given Input numbers are 381, 153, 580, 623

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

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

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

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 381, 153, 580, 623 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 381, 153, 580, 623 is 1.

Therefore, GCD of numbers 381, 153, 580, 623 is 1

Given Input Data is 381, 153, 580, 623

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

Prime Factorization of 381 is 3 x 127

Prime Factorization of 153 is 3 x 3 x 17

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

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(381, 153) = 19431

GCD(381, 153) = ( 381 x 153 ) / 19431

GCD(381, 153) = 58293 / 19431

GCD(381, 153) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 580

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

LCM(3, 580) = 1740

GCD(3, 580) = ( 3 x 580 ) / 1740

GCD(3, 580) = 1740 / 1740

GCD(3, 580) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

GCD of 381, 153, 580, 623 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 783, 943, 304
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• GCD of 831, 425, 442, 965

1. What is the GCD of 381, 153, 580, 623?

GCD of 381, 153, 580, 623 is 1

2. Where do I get the detailed procedure to find GCD of 381, 153, 580, 623?

You can find a detailed procedure to find GCD of 381, 153, 580, 623 on our page.

3. How to find GCD of 381, 153, 580, 623 on a calculator?

You can find the GCD of 381, 153, 580, 623 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.