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 659, 387, 17, 812 i.e. 1 largest integer that divides all the numbers equally.
GCD of 659, 387, 17, 812 is 1
GCD(659, 387, 17, 812) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 659, 387, 17, 812 is 1
GCD(659, 387, 17, 812) = 1
Given Input numbers are 659, 387, 17, 812
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 659
List of positive integer divisors of 659 that divides 659 without a remainder.
1, 659
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Greatest Common Divisior
We found the divisors of 659, 387, 17, 812 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 659, 387, 17, 812 is 1.
Therefore, GCD of numbers 659, 387, 17, 812 is 1
Given Input Data is 659, 387, 17, 812
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 659 is 659
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 17 is 17
Prime Factorization of 812 is 2 x 2 x 7 x 29
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(659, 387) = 255033
GCD(659, 387) = ( 659 x 387 ) / 255033
GCD(659, 387) = 255033 / 255033
GCD(659, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 812) = 812
GCD(1, 812) = ( 1 x 812 ) / 812
GCD(1, 812) = 812 / 812
GCD(1, 812) = 1
GCD of 659, 387, 17, 812 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 659, 387, 17, 812?
GCD of 659, 387, 17, 812 is 1
2. Where do I get the detailed procedure to find GCD of 659, 387, 17, 812?
You can find a detailed procedure to find GCD of 659, 387, 17, 812 on our page.
3. How to find GCD of 659, 387, 17, 812 on a calculator?
You can find the GCD of 659, 387, 17, 812 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.