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 165, 468, 64, 644 i.e. 1 largest integer that divides all the numbers equally.
GCD of 165, 468, 64, 644 is 1
GCD(165, 468, 64, 644) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 165, 468, 64, 644 is 1
GCD(165, 468, 64, 644) = 1
Given Input numbers are 165, 468, 64, 644
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
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
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 644
List of positive integer divisors of 644 that divides 644 without a remainder.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Greatest Common Divisior
We found the divisors of 165, 468, 64, 644 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 165, 468, 64, 644 is 1.
Therefore, GCD of numbers 165, 468, 64, 644 is 1
Given Input Data is 165, 468, 64, 644
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 644 is 2 x 2 x 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(165, 468) = 25740
GCD(165, 468) = ( 165 x 468 ) / 25740
GCD(165, 468) = 77220 / 25740
GCD(165, 468) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 64) = 192
GCD(3, 64) = ( 3 x 64 ) / 192
GCD(3, 64) = 192 / 192
GCD(3, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 644
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 644) = 644
GCD(1, 644) = ( 1 x 644 ) / 644
GCD(1, 644) = 644 / 644
GCD(1, 644) = 1
GCD of 165, 468, 64, 644 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 165, 468, 64, 644?
GCD of 165, 468, 64, 644 is 1
2. Where do I get the detailed procedure to find GCD of 165, 468, 64, 644?
You can find a detailed procedure to find GCD of 165, 468, 64, 644 on our page.
3. How to find GCD of 165, 468, 64, 644 on a calculator?
You can find the GCD of 165, 468, 64, 644 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.