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 648, 668, 966, 165 i.e. 1 largest integer that divides all the numbers equally.
GCD of 648, 668, 966, 165 is 1
GCD(648, 668, 966, 165) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 648, 668, 966, 165 is 1
GCD(648, 668, 966, 165) = 1
Given Input numbers are 648, 668, 966, 165
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 668
List of positive integer divisors of 668 that divides 668 without a remainder.
1, 2, 4, 167, 334, 668
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Greatest Common Divisior
We found the divisors of 648, 668, 966, 165 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 668, 966, 165 is 1.
Therefore, GCD of numbers 648, 668, 966, 165 is 1
Given Input Data is 648, 668, 966, 165
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 668 is 2 x 2 x 167
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 165 is 3 x 5 x 11
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(648, 668) = 108216
GCD(648, 668) = ( 648 x 668 ) / 108216
GCD(648, 668) = 432864 / 108216
GCD(648, 668) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 966) = 1932
GCD(4, 966) = ( 4 x 966 ) / 1932
GCD(4, 966) = 3864 / 1932
GCD(4, 966) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 165
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 165) = 330
GCD(2, 165) = ( 2 x 165 ) / 330
GCD(2, 165) = 330 / 330
GCD(2, 165) = 1
GCD of 648, 668, 966, 165 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 648, 668, 966, 165?
GCD of 648, 668, 966, 165 is 1
2. Where do I get the detailed procedure to find GCD of 648, 668, 966, 165?
You can find a detailed procedure to find GCD of 648, 668, 966, 165 on our page.
3. How to find GCD of 648, 668, 966, 165 on a calculator?
You can find the GCD of 648, 668, 966, 165 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.