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 650, 231, 82, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 650, 231, 82, 161 is 1
GCD(650, 231, 82, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 650, 231, 82, 161 is 1
GCD(650, 231, 82, 161) = 1
Given Input numbers are 650, 231, 82, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
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 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 650, 231, 82, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 231, 82, 161 is 1.
Therefore, GCD of numbers 650, 231, 82, 161 is 1
Given Input Data is 650, 231, 82, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 231 is 3 x 7 x 11
Prime Factorization of 82 is 2 x 41
Prime Factorization of 161 is 7 x 23
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(650, 231) = 150150
GCD(650, 231) = ( 650 x 231 ) / 150150
GCD(650, 231) = 150150 / 150150
GCD(650, 231) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 650, 231, 82, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 650, 231, 82, 161?
GCD of 650, 231, 82, 161 is 1
2. Where do I get the detailed procedure to find GCD of 650, 231, 82, 161?
You can find a detailed procedure to find GCD of 650, 231, 82, 161 on our page.
3. How to find GCD of 650, 231, 82, 161 on a calculator?
You can find the GCD of 650, 231, 82, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.