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 459, 636, 385, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 459, 636, 385, 690 is 1
GCD(459, 636, 385, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 459, 636, 385, 690 is 1
GCD(459, 636, 385, 690) = 1
Given Input numbers are 459, 636, 385, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 459
List of positive integer divisors of 459 that divides 459 without a remainder.
1, 3, 9, 17, 27, 51, 153, 459
Divisors of 636
List of positive integer divisors of 636 that divides 636 without a remainder.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
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
Greatest Common Divisior
We found the divisors of 459, 636, 385, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 459, 636, 385, 690 is 1.
Therefore, GCD of numbers 459, 636, 385, 690 is 1
Given Input Data is 459, 636, 385, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 459 is 3 x 3 x 3 x 17
Prime Factorization of 636 is 2 x 2 x 3 x 53
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 690 is 2 x 3 x 5 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(459, 636) = 97308
GCD(459, 636) = ( 459 x 636 ) / 97308
GCD(459, 636) = 291924 / 97308
GCD(459, 636) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 385) = 1155
GCD(3, 385) = ( 3 x 385 ) / 1155
GCD(3, 385) = 1155 / 1155
GCD(3, 385) = 1
Step3:
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
GCD of 459, 636, 385, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 459, 636, 385, 690?
GCD of 459, 636, 385, 690 is 1
2. Where do I get the detailed procedure to find GCD of 459, 636, 385, 690?
You can find a detailed procedure to find GCD of 459, 636, 385, 690 on our page.
3. How to find GCD of 459, 636, 385, 690 on a calculator?
You can find the GCD of 459, 636, 385, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.