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, 110, 243, 111 i.e. 1 largest integer that divides all the numbers equally.
GCD of 588, 110, 243, 111 is 1
GCD(588, 110, 243, 111) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 588, 110, 243, 111 is 1
GCD(588, 110, 243, 111) = 1
Given Input numbers are 588, 110, 243, 111
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 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Divisors of 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Greatest Common Divisior
We found the divisors of 588, 110, 243, 111 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 110, 243, 111 is 1.
Therefore, GCD of numbers 588, 110, 243, 111 is 1
Given Input Data is 588, 110, 243, 111
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 110 is 2 x 5 x 11
Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3
Prime Factorization of 111 is 3 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(588, 110) = 32340
GCD(588, 110) = ( 588 x 110 ) / 32340
GCD(588, 110) = 64680 / 32340
GCD(588, 110) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 111
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 111) = 111
GCD(1, 111) = ( 1 x 111 ) / 111
GCD(1, 111) = 111 / 111
GCD(1, 111) = 1
GCD of 588, 110, 243, 111 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 588, 110, 243, 111?
GCD of 588, 110, 243, 111 is 1
2. Where do I get the detailed procedure to find GCD of 588, 110, 243, 111?
You can find a detailed procedure to find GCD of 588, 110, 243, 111 on our page.
3. How to find GCD of 588, 110, 243, 111 on a calculator?
You can find the GCD of 588, 110, 243, 111 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.