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 396, 173, 690, 183 i.e. 1 largest integer that divides all the numbers equally.
GCD of 396, 173, 690, 183 is 1
GCD(396, 173, 690, 183) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 396, 173, 690, 183 is 1
GCD(396, 173, 690, 183) = 1
Given Input numbers are 396, 173, 690, 183
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 396
List of positive integer divisors of 396 that divides 396 without a remainder.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 173
List of positive integer divisors of 173 that divides 173 without a remainder.
1, 173
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Greatest Common Divisior
We found the divisors of 396, 173, 690, 183 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 173, 690, 183 is 1.
Therefore, GCD of numbers 396, 173, 690, 183 is 1
Given Input Data is 396, 173, 690, 183
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11
Prime Factorization of 173 is 173
Prime Factorization of 690 is 2 x 3 x 5 x 23
Prime Factorization of 183 is 3 x 61
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(396, 173) = 68508
GCD(396, 173) = ( 396 x 173 ) / 68508
GCD(396, 173) = 68508 / 68508
GCD(396, 173) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
GCD of 396, 173, 690, 183 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 396, 173, 690, 183?
GCD of 396, 173, 690, 183 is 1
2. Where do I get the detailed procedure to find GCD of 396, 173, 690, 183?
You can find a detailed procedure to find GCD of 396, 173, 690, 183 on our page.
3. How to find GCD of 396, 173, 690, 183 on a calculator?
You can find the GCD of 396, 173, 690, 183 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.