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 588, 191, 58, 114 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 191, 58, 114 is 1
GCD(588, 191, 58, 114) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 191, 58, 114 is 1
GCD(588, 191, 58, 114) = 1
Given Input numbers are 588, 191, 58, 114
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Divisors of 191
List of positive integer divisors of 191 that divides 191 without a remainder.
1, 191
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 114
List of positive integer divisors of 114 that divides 114 without a remainder.
1, 2, 3, 6, 19, 38, 57, 114
Greatest Common Divisior
We found the divisors of 588, 191, 58, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 191, 58, 114 is 1.
Therefore, GCD of numbers 588, 191, 58, 114 is 1
Given Input Data is 588, 191, 58, 114
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
Prime Factorization of 191 is 191
Prime Factorization of 58 is 2 x 29
Prime Factorization of 114 is 2 x 3 x 19
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(588, 191) = 112308
GCD(588, 191) = ( 588 x 191 ) / 112308
GCD(588, 191) = 112308 / 112308
GCD(588, 191) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 114
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
GCD(1, 114) = 114 / 114
GCD(1, 114) = 1
GCD of 588, 191, 58, 114 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 191, 58, 114?
GCD of 588, 191, 58, 114 is 1
2. Where do I get the detailed procedure to find GCD of 588, 191, 58, 114?
You can find a detailed procedure to find GCD of 588, 191, 58, 114 on our page.
3. How to find GCD of 588, 191, 58, 114 on a calculator?
You can find the GCD of 588, 191, 58, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.