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 677, 206, 596, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 677, 206, 596, 437 is 1
GCD(677, 206, 596, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 677, 206, 596, 437 is 1
GCD(677, 206, 596, 437) = 1
Given Input numbers are 677, 206, 596, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 677, 206, 596, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 206, 596, 437 is 1.
Therefore, GCD of numbers 677, 206, 596, 437 is 1
Given Input Data is 677, 206, 596, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 677 is 677
Prime Factorization of 206 is 2 x 103
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 437 is 19 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(677, 206) = 139462
GCD(677, 206) = ( 677 x 206 ) / 139462
GCD(677, 206) = 139462 / 139462
GCD(677, 206) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 596
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 596) = 596
GCD(1, 596) = ( 1 x 596 ) / 596
GCD(1, 596) = 596 / 596
GCD(1, 596) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
GCD of 677, 206, 596, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 677, 206, 596, 437?
GCD of 677, 206, 596, 437 is 1
2. Where do I get the detailed procedure to find GCD of 677, 206, 596, 437?
You can find a detailed procedure to find GCD of 677, 206, 596, 437 on our page.
3. How to find GCD of 677, 206, 596, 437 on a calculator?
You can find the GCD of 677, 206, 596, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.