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 324, 177, 85, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 177, 85, 161 is 1
GCD(324, 177, 85, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 177, 85, 161 is 1
GCD(324, 177, 85, 161) = 1
Given Input numbers are 324, 177, 85, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
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 324, 177, 85, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 177, 85, 161 is 1.
Therefore, GCD of numbers 324, 177, 85, 161 is 1
Given Input Data is 324, 177, 85, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 177 is 3 x 59
Prime Factorization of 85 is 5 x 17
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(324, 177) = 19116
GCD(324, 177) = ( 324 x 177 ) / 19116
GCD(324, 177) = 57348 / 19116
GCD(324, 177) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 85) = 255
GCD(3, 85) = ( 3 x 85 ) / 255
GCD(3, 85) = 255 / 255
GCD(3, 85) = 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 324, 177, 85, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 177, 85, 161?
GCD of 324, 177, 85, 161 is 1
2. Where do I get the detailed procedure to find GCD of 324, 177, 85, 161?
You can find a detailed procedure to find GCD of 324, 177, 85, 161 on our page.
3. How to find GCD of 324, 177, 85, 161 on a calculator?
You can find the GCD of 324, 177, 85, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.