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 135, 559, 399, 383 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 559, 399, 383 is 1
GCD(135, 559, 399, 383) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 559, 399, 383 is 1
GCD(135, 559, 399, 383) = 1
Given Input numbers are 135, 559, 399, 383
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 559
List of positive integer divisors of 559 that divides 559 without a remainder.
1, 13, 43, 559
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 383
List of positive integer divisors of 383 that divides 383 without a remainder.
1, 383
Greatest Common Divisior
We found the divisors of 135, 559, 399, 383 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 559, 399, 383 is 1.
Therefore, GCD of numbers 135, 559, 399, 383 is 1
Given Input Data is 135, 559, 399, 383
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 559 is 13 x 43
Prime Factorization of 399 is 3 x 7 x 19
Prime Factorization of 383 is 383
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(135, 559) = 75465
GCD(135, 559) = ( 135 x 559 ) / 75465
GCD(135, 559) = 75465 / 75465
GCD(135, 559) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 383
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 383) = 383
GCD(1, 383) = ( 1 x 383 ) / 383
GCD(1, 383) = 383 / 383
GCD(1, 383) = 1
GCD of 135, 559, 399, 383 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 559, 399, 383?
GCD of 135, 559, 399, 383 is 1
2. Where do I get the detailed procedure to find GCD of 135, 559, 399, 383?
You can find a detailed procedure to find GCD of 135, 559, 399, 383 on our page.
3. How to find GCD of 135, 559, 399, 383 on a calculator?
You can find the GCD of 135, 559, 399, 383 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.