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, 291, 322, 481 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 291, 322, 481 is 1
GCD(60, 291, 322, 481) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 291, 322, 481 is 1
GCD(60, 291, 322, 481) = 1
Given Input numbers are 60, 291, 322, 481
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 291
List of positive integer divisors of 291 that divides 291 without a remainder.
1, 3, 97, 291
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Divisors of 481
List of positive integer divisors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Greatest Common Divisior
We found the divisors of 60, 291, 322, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 291, 322, 481 is 1.
Therefore, GCD of numbers 60, 291, 322, 481 is 1
Given Input Data is 60, 291, 322, 481
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 291 is 3 x 97
Prime Factorization of 322 is 2 x 7 x 23
Prime Factorization of 481 is 13 x 37
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, 291) = 5820
GCD(60, 291) = ( 60 x 291 ) / 5820
GCD(60, 291) = 17460 / 5820
GCD(60, 291) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 322) = 966
GCD(3, 322) = ( 3 x 322 ) / 966
GCD(3, 322) = 966 / 966
GCD(3, 322) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 481
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 481) = 481
GCD(1, 481) = ( 1 x 481 ) / 481
GCD(1, 481) = 481 / 481
GCD(1, 481) = 1
GCD of 60, 291, 322, 481 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 291, 322, 481?
GCD of 60, 291, 322, 481 is 1
2. Where do I get the detailed procedure to find GCD of 60, 291, 322, 481?
You can find a detailed procedure to find GCD of 60, 291, 322, 481 on our page.
3. How to find GCD of 60, 291, 322, 481 on a calculator?
You can find the GCD of 60, 291, 322, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.