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 591, 121, 83, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 591, 121, 83, 385 is 1
GCD(591, 121, 83, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 591, 121, 83, 385 is 1
GCD(591, 121, 83, 385) = 1
Given Input numbers are 591, 121, 83, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 591
List of positive integer divisors of 591 that divides 591 without a remainder.
1, 3, 197, 591
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 591, 121, 83, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 591, 121, 83, 385 is 1.
Therefore, GCD of numbers 591, 121, 83, 385 is 1
Given Input Data is 591, 121, 83, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 591 is 3 x 197
Prime Factorization of 121 is 11 x 11
Prime Factorization of 83 is 83
Prime Factorization of 385 is 5 x 7 x 11
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(591, 121) = 71511
GCD(591, 121) = ( 591 x 121 ) / 71511
GCD(591, 121) = 71511 / 71511
GCD(591, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 83) = 83
GCD(1, 83) = ( 1 x 83 ) / 83
GCD(1, 83) = 83 / 83
GCD(1, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 591, 121, 83, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 591, 121, 83, 385?
GCD of 591, 121, 83, 385 is 1
2. Where do I get the detailed procedure to find GCD of 591, 121, 83, 385?
You can find a detailed procedure to find GCD of 591, 121, 83, 385 on our page.
3. How to find GCD of 591, 121, 83, 385 on a calculator?
You can find the GCD of 591, 121, 83, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.