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 231, 143, 88, 680 i.e. 1 largest integer that divides all the numbers equally.
GCD of 231, 143, 88, 680 is 1
GCD(231, 143, 88, 680) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 231, 143, 88, 680 is 1
GCD(231, 143, 88, 680) = 1
Given Input numbers are 231, 143, 88, 680
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 231
List of positive integer divisors of 231 that divides 231 without a remainder.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
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 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Greatest Common Divisior
We found the divisors of 231, 143, 88, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 143, 88, 680 is 1.
Therefore, GCD of numbers 231, 143, 88, 680 is 1
Given Input Data is 231, 143, 88, 680
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 143 is 11 x 13
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
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(231, 143) = 3003
GCD(231, 143) = ( 231 x 143 ) / 3003
GCD(231, 143) = 33033 / 3003
GCD(231, 143) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 88) = 88
GCD(11, 88) = ( 11 x 88 ) / 88
GCD(11, 88) = 968 / 88
GCD(11, 88) = 11
Step3:
Here we consider the GCD from the above i.e. 11 as first number and the next as 680
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 680) = 7480
GCD(11, 680) = ( 11 x 680 ) / 7480
GCD(11, 680) = 7480 / 7480
GCD(11, 680) = 1
GCD of 231, 143, 88, 680 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 231, 143, 88, 680?
GCD of 231, 143, 88, 680 is 1
2. Where do I get the detailed procedure to find GCD of 231, 143, 88, 680?
You can find a detailed procedure to find GCD of 231, 143, 88, 680 on our page.
3. How to find GCD of 231, 143, 88, 680 on a calculator?
You can find the GCD of 231, 143, 88, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.