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 646, 522, 33, 360 i.e. 1 largest integer that divides all the numbers equally.
GCD of 646, 522, 33, 360 is 1
GCD(646, 522, 33, 360) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 646, 522, 33, 360 is 1
GCD(646, 522, 33, 360) = 1
Given Input numbers are 646, 522, 33, 360
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 522
List of positive integer divisors of 522 that divides 522 without a remainder.
1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Greatest Common Divisior
We found the divisors of 646, 522, 33, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 522, 33, 360 is 1.
Therefore, GCD of numbers 646, 522, 33, 360 is 1
Given Input Data is 646, 522, 33, 360
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 522 is 2 x 3 x 3 x 29
Prime Factorization of 33 is 3 x 11
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(646, 522) = 168606
GCD(646, 522) = ( 646 x 522 ) / 168606
GCD(646, 522) = 337212 / 168606
GCD(646, 522) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 33) = 66
GCD(2, 33) = ( 2 x 33 ) / 66
GCD(2, 33) = 66 / 66
GCD(2, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 1
GCD of 646, 522, 33, 360 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 646, 522, 33, 360?
GCD of 646, 522, 33, 360 is 1
2. Where do I get the detailed procedure to find GCD of 646, 522, 33, 360?
You can find a detailed procedure to find GCD of 646, 522, 33, 360 on our page.
3. How to find GCD of 646, 522, 33, 360 on a calculator?
You can find the GCD of 646, 522, 33, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.