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 680, 321, 55, 605 i.e. 1 largest integer that divides all the numbers equally.
GCD of 680, 321, 55, 605 is 1
GCD(680, 321, 55, 605) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 680, 321, 55, 605 is 1
GCD(680, 321, 55, 605) = 1
Given Input numbers are 680, 321, 55, 605
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 680
List of positive integer divisors of 680 that divides 680 without a remainder.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 605
List of positive integer divisors of 605 that divides 605 without a remainder.
1, 5, 11, 55, 121, 605
Greatest Common Divisior
We found the divisors of 680, 321, 55, 605 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 321, 55, 605 is 1.
Therefore, GCD of numbers 680, 321, 55, 605 is 1
Given Input Data is 680, 321, 55, 605
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 321 is 3 x 107
Prime Factorization of 55 is 5 x 11
Prime Factorization of 605 is 5 x 11 x 11
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(680, 321) = 218280
GCD(680, 321) = ( 680 x 321 ) / 218280
GCD(680, 321) = 218280 / 218280
GCD(680, 321) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 605
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 605) = 605
GCD(1, 605) = ( 1 x 605 ) / 605
GCD(1, 605) = 605 / 605
GCD(1, 605) = 1
GCD of 680, 321, 55, 605 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 680, 321, 55, 605?
GCD of 680, 321, 55, 605 is 1
2. Where do I get the detailed procedure to find GCD of 680, 321, 55, 605?
You can find a detailed procedure to find GCD of 680, 321, 55, 605 on our page.
3. How to find GCD of 680, 321, 55, 605 on a calculator?
You can find the GCD of 680, 321, 55, 605 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.