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 654, 231, 959, 218 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 231, 959, 218 is 1
GCD(654, 231, 959, 218) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 231, 959, 218 is 1
GCD(654, 231, 959, 218) = 1
Given Input numbers are 654, 231, 959, 218
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
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 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Divisors of 218
List of positive integer divisors of 218 that divides 218 without a remainder.
1, 2, 109, 218
Greatest Common Divisior
We found the divisors of 654, 231, 959, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 231, 959, 218 is 1.
Therefore, GCD of numbers 654, 231, 959, 218 is 1
Given Input Data is 654, 231, 959, 218
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 959 is 7 x 137
Prime Factorization of 218 is 2 x 109
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(654, 231) = 50358
GCD(654, 231) = ( 654 x 231 ) / 50358
GCD(654, 231) = 151074 / 50358
GCD(654, 231) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 959) = 2877
GCD(3, 959) = ( 3 x 959 ) / 2877
GCD(3, 959) = 2877 / 2877
GCD(3, 959) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 218
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 218) = 218
GCD(1, 218) = ( 1 x 218 ) / 218
GCD(1, 218) = 218 / 218
GCD(1, 218) = 1
GCD of 654, 231, 959, 218 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 231, 959, 218?
GCD of 654, 231, 959, 218 is 1
2. Where do I get the detailed procedure to find GCD of 654, 231, 959, 218?
You can find a detailed procedure to find GCD of 654, 231, 959, 218 on our page.
3. How to find GCD of 654, 231, 959, 218 on a calculator?
You can find the GCD of 654, 231, 959, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.