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 635, 774, 423, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 635, 774, 423, 422 is 1
GCD(635, 774, 423, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 635, 774, 423, 422 is 1
GCD(635, 774, 423, 422) = 1
Given Input numbers are 635, 774, 423, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 635
List of positive integer divisors of 635 that divides 635 without a remainder.
1, 5, 127, 635
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Greatest Common Divisior
We found the divisors of 635, 774, 423, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 774, 423, 422 is 1.
Therefore, GCD of numbers 635, 774, 423, 422 is 1
Given Input Data is 635, 774, 423, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 635 is 5 x 127
Prime Factorization of 774 is 2 x 3 x 3 x 43
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 422 is 2 x 211
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(635, 774) = 491490
GCD(635, 774) = ( 635 x 774 ) / 491490
GCD(635, 774) = 491490 / 491490
GCD(635, 774) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 423) = 423
GCD(1, 423) = ( 1 x 423 ) / 423
GCD(1, 423) = 423 / 423
GCD(1, 423) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 422) = 422
GCD(1, 422) = ( 1 x 422 ) / 422
GCD(1, 422) = 422 / 422
GCD(1, 422) = 1
GCD of 635, 774, 423, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 635, 774, 423, 422?
GCD of 635, 774, 423, 422 is 1
2. Where do I get the detailed procedure to find GCD of 635, 774, 423, 422?
You can find a detailed procedure to find GCD of 635, 774, 423, 422 on our page.
3. How to find GCD of 635, 774, 423, 422 on a calculator?
You can find the GCD of 635, 774, 423, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.