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 numbers 60, 300, 391, 583 is 1
GCD(60, 300, 391, 583) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.