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 363, 172, 44, 646 i.e. 1 largest integer that divides all the numbers equally.
GCD of 363, 172, 44, 646 is 1
GCD(363, 172, 44, 646) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 363, 172, 44, 646 is 1
GCD(363, 172, 44, 646) = 1
Given Input numbers are 363, 172, 44, 646
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 363
List of positive integer divisors of 363 that divides 363 without a remainder.
1, 3, 11, 33, 121, 363
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Greatest Common Divisior
We found the divisors of 363, 172, 44, 646 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 172, 44, 646 is 1.
Therefore, GCD of numbers 363, 172, 44, 646 is 1
Given Input Data is 363, 172, 44, 646
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 363 is 3 x 11 x 11
Prime Factorization of 172 is 2 x 2 x 43
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 646 is 2 x 17 x 19
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(363, 172) = 62436
GCD(363, 172) = ( 363 x 172 ) / 62436
GCD(363, 172) = 62436 / 62436
GCD(363, 172) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 646
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 646) = 646
GCD(1, 646) = ( 1 x 646 ) / 646
GCD(1, 646) = 646 / 646
GCD(1, 646) = 1
GCD of 363, 172, 44, 646 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 363, 172, 44, 646?
GCD of 363, 172, 44, 646 is 1
2. Where do I get the detailed procedure to find GCD of 363, 172, 44, 646?
You can find a detailed procedure to find GCD of 363, 172, 44, 646 on our page.
3. How to find GCD of 363, 172, 44, 646 on a calculator?
You can find the GCD of 363, 172, 44, 646 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.