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 403, 680, 687, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 403, 680, 687, 359 is 1
GCD(403, 680, 687, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 403, 680, 687, 359 is 1
GCD(403, 680, 687, 359) = 1
Given Input numbers are 403, 680, 687, 359
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 403
List of positive integer divisors of 403 that divides 403 without a remainder.
1, 13, 31, 403
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 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 403, 680, 687, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 403, 680, 687, 359 is 1.
Therefore, GCD of numbers 403, 680, 687, 359 is 1
Given Input Data is 403, 680, 687, 359
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 403 is 13 x 31
Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17
Prime Factorization of 687 is 3 x 229
Prime Factorization of 359 is 359
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(403, 680) = 274040
GCD(403, 680) = ( 403 x 680 ) / 274040
GCD(403, 680) = 274040 / 274040
GCD(403, 680) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 687
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
GCD(1, 687) = 687 / 687
GCD(1, 687) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
GCD(1, 359) = 359 / 359
GCD(1, 359) = 1
GCD of 403, 680, 687, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 403, 680, 687, 359?
GCD of 403, 680, 687, 359 is 1
2. Where do I get the detailed procedure to find GCD of 403, 680, 687, 359?
You can find a detailed procedure to find GCD of 403, 680, 687, 359 on our page.
3. How to find GCD of 403, 680, 687, 359 on a calculator?
You can find the GCD of 403, 680, 687, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.