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 656, 361, 59, 684 i.e. 1 largest integer that divides all the numbers equally.
GCD of 656, 361, 59, 684 is 1
GCD(656, 361, 59, 684) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 656, 361, 59, 684 is 1
GCD(656, 361, 59, 684) = 1
Given Input numbers are 656, 361, 59, 684
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Divisors of 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 684
List of positive integer divisors of 684 that divides 684 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Greatest Common Divisior
We found the divisors of 656, 361, 59, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 361, 59, 684 is 1.
Therefore, GCD of numbers 656, 361, 59, 684 is 1
Given Input Data is 656, 361, 59, 684
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
Prime Factorization of 361 is 19 x 19
Prime Factorization of 59 is 59
Prime Factorization of 684 is 2 x 2 x 3 x 3 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(656, 361) = 236816
GCD(656, 361) = ( 656 x 361 ) / 236816
GCD(656, 361) = 236816 / 236816
GCD(656, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 684
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 684) = 684
GCD(1, 684) = ( 1 x 684 ) / 684
GCD(1, 684) = 684 / 684
GCD(1, 684) = 1
GCD of 656, 361, 59, 684 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 656, 361, 59, 684?
GCD of 656, 361, 59, 684 is 1
2. Where do I get the detailed procedure to find GCD of 656, 361, 59, 684?
You can find a detailed procedure to find GCD of 656, 361, 59, 684 on our page.
3. How to find GCD of 656, 361, 59, 684 on a calculator?
You can find the GCD of 656, 361, 59, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.