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 599, 617, 11, 342 i.e. 1 largest integer that divides all the numbers equally.
GCD of 599, 617, 11, 342 is 1
GCD(599, 617, 11, 342) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 599, 617, 11, 342 is 1
GCD(599, 617, 11, 342) = 1
Given Input numbers are 599, 617, 11, 342
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 599
List of positive integer divisors of 599 that divides 599 without a remainder.
1, 599
Divisors of 617
List of positive integer divisors of 617 that divides 617 without a remainder.
1, 617
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Greatest Common Divisior
We found the divisors of 599, 617, 11, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 599, 617, 11, 342 is 1.
Therefore, GCD of numbers 599, 617, 11, 342 is 1
Given Input Data is 599, 617, 11, 342
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 599 is 599
Prime Factorization of 617 is 617
Prime Factorization of 11 is 11
Prime Factorization of 342 is 2 x 3 x 3 x 19
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(599, 617) = 369583
GCD(599, 617) = ( 599 x 617 ) / 369583
GCD(599, 617) = 369583 / 369583
GCD(599, 617) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 11) = 11
GCD(1, 11) = ( 1 x 11 ) / 11
GCD(1, 11) = 11 / 11
GCD(1, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 342
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
GCD(1, 342) = 342 / 342
GCD(1, 342) = 1
GCD of 599, 617, 11, 342 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 599, 617, 11, 342?
GCD of 599, 617, 11, 342 is 1
2. Where do I get the detailed procedure to find GCD of 599, 617, 11, 342?
You can find a detailed procedure to find GCD of 599, 617, 11, 342 on our page.
3. How to find GCD of 599, 617, 11, 342 on a calculator?
You can find the GCD of 599, 617, 11, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.