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 567, 211, 602, 345 i.e. 1 largest integer that divides all the numbers equally.
GCD of 567, 211, 602, 345 is 1
GCD(567, 211, 602, 345) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 567, 211, 602, 345 is 1
GCD(567, 211, 602, 345) = 1
Given Input numbers are 567, 211, 602, 345
To find the GCD of numbers using factoring list out all the divisors of each number
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 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Greatest Common Divisior
We found the divisors of 567, 211, 602, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 211, 602, 345 is 1.
Therefore, GCD of numbers 567, 211, 602, 345 is 1
Given Input Data is 567, 211, 602, 345
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 211 is 211
Prime Factorization of 602 is 2 x 7 x 43
Prime Factorization of 345 is 3 x 5 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(567, 211) = 119637
GCD(567, 211) = ( 567 x 211 ) / 119637
GCD(567, 211) = 119637 / 119637
GCD(567, 211) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 602
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 602) = 602
GCD(1, 602) = ( 1 x 602 ) / 602
GCD(1, 602) = 602 / 602
GCD(1, 602) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 345
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
GCD(1, 345) = 345 / 345
GCD(1, 345) = 1
GCD of 567, 211, 602, 345 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 567, 211, 602, 345?
GCD of 567, 211, 602, 345 is 1
2. Where do I get the detailed procedure to find GCD of 567, 211, 602, 345?
You can find a detailed procedure to find GCD of 567, 211, 602, 345 on our page.
3. How to find GCD of 567, 211, 602, 345 on a calculator?
You can find the GCD of 567, 211, 602, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.