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 440, 293, 88, 231 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 293, 88, 231 is 1
GCD(440, 293, 88, 231) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 293, 88, 231 is 1
GCD(440, 293, 88, 231) = 1
Given Input numbers are 440, 293, 88, 231
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 293
List of positive integer divisors of 293 that divides 293 without a remainder.
1, 293
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Greatest Common Divisior
We found the divisors of 440, 293, 88, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 293, 88, 231 is 1.
Therefore, GCD of numbers 440, 293, 88, 231 is 1
Given Input Data is 440, 293, 88, 231
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 293 is 293
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 231 is 3 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(440, 293) = 128920
GCD(440, 293) = ( 440 x 293 ) / 128920
GCD(440, 293) = 128920 / 128920
GCD(440, 293) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 88) = 88
GCD(1, 88) = ( 1 x 88 ) / 88
GCD(1, 88) = 88 / 88
GCD(1, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 231
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 231) = 231
GCD(1, 231) = ( 1 x 231 ) / 231
GCD(1, 231) = 231 / 231
GCD(1, 231) = 1
GCD of 440, 293, 88, 231 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 293, 88, 231?
GCD of 440, 293, 88, 231 is 1
2. Where do I get the detailed procedure to find GCD of 440, 293, 88, 231?
You can find a detailed procedure to find GCD of 440, 293, 88, 231 on our page.
3. How to find GCD of 440, 293, 88, 231 on a calculator?
You can find the GCD of 440, 293, 88, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.