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 109, 566, 73, 602 i.e. 1 largest integer that divides all the numbers equally.
GCD of 109, 566, 73, 602 is 1
GCD(109, 566, 73, 602) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 109, 566, 73, 602 is 1
GCD(109, 566, 73, 602) = 1
Given Input numbers are 109, 566, 73, 602
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 566
List of positive integer divisors of 566 that divides 566 without a remainder.
1, 2, 283, 566
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 602
List of positive integer divisors of 602 that divides 602 without a remainder.
1, 2, 7, 14, 43, 86, 301, 602
Greatest Common Divisior
We found the divisors of 109, 566, 73, 602 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 566, 73, 602 is 1.
Therefore, GCD of numbers 109, 566, 73, 602 is 1
Given Input Data is 109, 566, 73, 602
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 109 is 109
Prime Factorization of 566 is 2 x 283
Prime Factorization of 73 is 73
Prime Factorization of 602 is 2 x 7 x 43
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(109, 566) = 61694
GCD(109, 566) = ( 109 x 566 ) / 61694
GCD(109, 566) = 61694 / 61694
GCD(109, 566) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 73) = 73
GCD(1, 73) = ( 1 x 73 ) / 73
GCD(1, 73) = 73 / 73
GCD(1, 73) = 1
Step3:
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
GCD of 109, 566, 73, 602 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 109, 566, 73, 602?
GCD of 109, 566, 73, 602 is 1
2. Where do I get the detailed procedure to find GCD of 109, 566, 73, 602?
You can find a detailed procedure to find GCD of 109, 566, 73, 602 on our page.
3. How to find GCD of 109, 566, 73, 602 on a calculator?
You can find the GCD of 109, 566, 73, 602 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.