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 120, 166, 327, 648 i.e. 1 largest integer that divides all the numbers equally.
GCD of 120, 166, 327, 648 is 1
GCD(120, 166, 327, 648) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 120, 166, 327, 648 is 1
GCD(120, 166, 327, 648) = 1
Given Input numbers are 120, 166, 327, 648
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 120
List of positive integer divisors of 120 that divides 120 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Divisors of 327
List of positive integer divisors of 327 that divides 327 without a remainder.
1, 3, 109, 327
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Greatest Common Divisior
We found the divisors of 120, 166, 327, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 120, 166, 327, 648 is 1.
Therefore, GCD of numbers 120, 166, 327, 648 is 1
Given Input Data is 120, 166, 327, 648
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5
Prime Factorization of 166 is 2 x 83
Prime Factorization of 327 is 3 x 109
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
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(120, 166) = 9960
GCD(120, 166) = ( 120 x 166 ) / 9960
GCD(120, 166) = 19920 / 9960
GCD(120, 166) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 327
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 327) = 654
GCD(2, 327) = ( 2 x 327 ) / 654
GCD(2, 327) = 654 / 654
GCD(2, 327) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 648
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 648) = 648
GCD(1, 648) = ( 1 x 648 ) / 648
GCD(1, 648) = 648 / 648
GCD(1, 648) = 1
GCD of 120, 166, 327, 648 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 120, 166, 327, 648?
GCD of 120, 166, 327, 648 is 1
2. Where do I get the detailed procedure to find GCD of 120, 166, 327, 648?
You can find a detailed procedure to find GCD of 120, 166, 327, 648 on our page.
3. How to find GCD of 120, 166, 327, 648 on a calculator?
You can find the GCD of 120, 166, 327, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.