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 52, 299, 567, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 52, 299, 567, 601 is 1
GCD(52, 299, 567, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 52, 299, 567, 601 is 1
GCD(52, 299, 567, 601) = 1
Given Input numbers are 52, 299, 567, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 52, 299, 567, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 52, 299, 567, 601 is 1.
Therefore, GCD of numbers 52, 299, 567, 601 is 1
Given Input Data is 52, 299, 567, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 299 is 13 x 23
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 601 is 601
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(52, 299) = 1196
GCD(52, 299) = ( 52 x 299 ) / 1196
GCD(52, 299) = 15548 / 1196
GCD(52, 299) = 13
Step2:
Here we consider the GCD from the above i.e. 13 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(13, 567) = 7371
GCD(13, 567) = ( 13 x 567 ) / 7371
GCD(13, 567) = 7371 / 7371
GCD(13, 567) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 52, 299, 567, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 52, 299, 567, 601?
GCD of 52, 299, 567, 601 is 1
2. Where do I get the detailed procedure to find GCD of 52, 299, 567, 601?
You can find a detailed procedure to find GCD of 52, 299, 567, 601 on our page.
3. How to find GCD of 52, 299, 567, 601 on a calculator?
You can find the GCD of 52, 299, 567, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.