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 171, 427, 184, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 427, 184, 468 is 1
GCD(171, 427, 184, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 427, 184, 468 is 1
GCD(171, 427, 184, 468) = 1
Given Input numbers are 171, 427, 184, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 184
List of positive integer divisors of 184 that divides 184 without a remainder.
1, 2, 4, 8, 23, 46, 92, 184
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 171, 427, 184, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 427, 184, 468 is 1.
Therefore, GCD of numbers 171, 427, 184, 468 is 1
Given Input Data is 171, 427, 184, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 427 is 7 x 61
Prime Factorization of 184 is 2 x 2 x 2 x 23
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(171, 427) = 73017
GCD(171, 427) = ( 171 x 427 ) / 73017
GCD(171, 427) = 73017 / 73017
GCD(171, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 184
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 184) = 184
GCD(1, 184) = ( 1 x 184 ) / 184
GCD(1, 184) = 184 / 184
GCD(1, 184) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 171, 427, 184, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 427, 184, 468?
GCD of 171, 427, 184, 468 is 1
2. Where do I get the detailed procedure to find GCD of 171, 427, 184, 468?
You can find a detailed procedure to find GCD of 171, 427, 184, 468 on our page.
3. How to find GCD of 171, 427, 184, 468 on a calculator?
You can find the GCD of 171, 427, 184, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.