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 393, 654, 372, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 393, 654, 372, 161 is 1
GCD(393, 654, 372, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 393, 654, 372, 161 is 1
GCD(393, 654, 372, 161) = 1
Given Input numbers are 393, 654, 372, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
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 372
List of positive integer divisors of 372 that divides 372 without a remainder.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
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 393, 654, 372, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 393, 654, 372, 161 is 1.
Therefore, GCD of numbers 393, 654, 372, 161 is 1
Given Input Data is 393, 654, 372, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 393 is 3 x 131
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 372 is 2 x 2 x 3 x 31
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(393, 654) = 85674
GCD(393, 654) = ( 393 x 654 ) / 85674
GCD(393, 654) = 257022 / 85674
GCD(393, 654) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 372
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 372) = 372
GCD(3, 372) = ( 3 x 372 ) / 372
GCD(3, 372) = 1116 / 372
GCD(3, 372) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 161) = 483
GCD(3, 161) = ( 3 x 161 ) / 483
GCD(3, 161) = 483 / 483
GCD(3, 161) = 1
GCD of 393, 654, 372, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 393, 654, 372, 161?
GCD of 393, 654, 372, 161 is 1
2. Where do I get the detailed procedure to find GCD of 393, 654, 372, 161?
You can find a detailed procedure to find GCD of 393, 654, 372, 161 on our page.
3. How to find GCD of 393, 654, 372, 161 on a calculator?
You can find the GCD of 393, 654, 372, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.