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 601, 575, 36, 422 i.e. 1 largest integer that divides all the numbers equally.
GCD of 601, 575, 36, 422 is 1
GCD(601, 575, 36, 422) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 601, 575, 36, 422 is 1
GCD(601, 575, 36, 422) = 1
Given Input numbers are 601, 575, 36, 422
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 575
List of positive integer divisors of 575 that divides 575 without a remainder.
1, 5, 23, 25, 115, 575
Divisors of 36
List of positive integer divisors of 36 that divides 36 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 36
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 601, 575, 36, 422 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 575, 36, 422 is 1.
Therefore, GCD of numbers 601, 575, 36, 422 is 1
Given Input Data is 601, 575, 36, 422
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 601 is 601
Prime Factorization of 575 is 5 x 5 x 23
Prime Factorization of 36 is 2 x 2 x 3 x 3
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(601, 575) = 345575
GCD(601, 575) = ( 601 x 575 ) / 345575
GCD(601, 575) = 345575 / 345575
GCD(601, 575) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 36
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 36) = 36
GCD(1, 36) = ( 1 x 36 ) / 36
GCD(1, 36) = 36 / 36
GCD(1, 36) = 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 601, 575, 36, 422 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 601, 575, 36, 422?
GCD of 601, 575, 36, 422 is 1
2. Where do I get the detailed procedure to find GCD of 601, 575, 36, 422?
You can find a detailed procedure to find GCD of 601, 575, 36, 422 on our page.
3. How to find GCD of 601, 575, 36, 422 on a calculator?
You can find the GCD of 601, 575, 36, 422 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.