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 633, 161, 31 i.e. 1 largest integer that divides all the numbers equally.
GCD of 633, 161, 31 is 1
GCD(633, 161, 31) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 633, 161, 31 is 1
GCD(633, 161, 31) = 1
Given Input numbers are 633, 161, 31
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Greatest Common Divisior
We found the divisors of 633, 161, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 633, 161, 31 is 1.
Therefore, GCD of numbers 633, 161, 31 is 1
Given Input Data is 633, 161, 31
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 633 is 3 x 211
Prime Factorization of 161 is 7 x 23
Prime Factorization of 31 is 31
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(633, 161) = 101913
GCD(633, 161) = ( 633 x 161 ) / 101913
GCD(633, 161) = 101913 / 101913
GCD(633, 161) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
GCD(1, 31) = 31 / 31
GCD(1, 31) = 1
GCD of 633, 161, 31 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 633, 161, 31?
GCD of 633, 161, 31 is 1
2. Where do I get the detailed procedure to find GCD of 633, 161, 31?
You can find a detailed procedure to find GCD of 633, 161, 31 on our page.
3. How to find GCD of 633, 161, 31 on a calculator?
You can find the GCD of 633, 161, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.