GCD of 60, 300, 391, 583 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 60, 300, 391, 583 i.e. 1 largest integer that divides all the numbers equally.

GCD of 60, 300, 391, 583 is 1

GCD(60, 300, 391, 583) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 60, 300, 391, 583 is 1

GCD(60, 300, 391, 583) = 1

GCD of 60,300,391,583 Calculator

GCDof 60,300,391,583 is 1

Given Input numbers are 60, 300, 391, 583

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

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 60, 300, 391, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 300, 391, 583 is 1.

Therefore, GCD of numbers 60, 300, 391, 583 is 1

Finding GCD of 60, 300, 391, 583 using Prime Factorization

Given Input Data is 60, 300, 391, 583

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

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 391 is 17 x 23

Prime Factorization of 583 is 11 x 53

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 60, 300, 391, 583 using LCM Formula

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(60, 300) = 300

GCD(60, 300) = ( 60 x 300 ) / 300

GCD(60, 300) = 18000 / 300

GCD(60, 300) = 60


Step2:

Here we consider the GCD from the above i.e. 60 as first number and the next as 391

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

LCM(60, 391) = 23460

GCD(60, 391) = ( 60 x 391 ) / 23460

GCD(60, 391) = 23460 / 23460

GCD(60, 391) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 60, 300, 391, 583 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 60, 300, 391, 583

1. What is the GCD of 60, 300, 391, 583?

GCD of 60, 300, 391, 583 is 1


2. Where do I get the detailed procedure to find GCD of 60, 300, 391, 583?

You can find a detailed procedure to find GCD of 60, 300, 391, 583 on our page.


3. How to find GCD of 60, 300, 391, 583 on a calculator?

You can find the GCD of 60, 300, 391, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.