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 775, 717, 638, 404 i.e. 1 largest integer that divides all the numbers equally.
GCD of 775, 717, 638, 404 is 1
GCD(775, 717, 638, 404) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 775, 717, 638, 404 is 1
GCD(775, 717, 638, 404) = 1
Given Input numbers are 775, 717, 638, 404
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 717
List of positive integer divisors of 717 that divides 717 without a remainder.
1, 3, 239, 717
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Greatest Common Divisior
We found the divisors of 775, 717, 638, 404 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 775, 717, 638, 404 is 1.
Therefore, GCD of numbers 775, 717, 638, 404 is 1
Given Input Data is 775, 717, 638, 404
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 717 is 3 x 239
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 404 is 2 x 2 x 101
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(775, 717) = 555675
GCD(775, 717) = ( 775 x 717 ) / 555675
GCD(775, 717) = 555675 / 555675
GCD(775, 717) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 638
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 638) = 638
GCD(1, 638) = ( 1 x 638 ) / 638
GCD(1, 638) = 638 / 638
GCD(1, 638) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
GCD(1, 404) = 404 / 404
GCD(1, 404) = 1
GCD of 775, 717, 638, 404 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 775, 717, 638, 404?
GCD of 775, 717, 638, 404 is 1
2. Where do I get the detailed procedure to find GCD of 775, 717, 638, 404?
You can find a detailed procedure to find GCD of 775, 717, 638, 404 on our page.
3. How to find GCD of 775, 717, 638, 404 on a calculator?
You can find the GCD of 775, 717, 638, 404 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.