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 555, 240, 67, 329 i.e. 1 largest integer that divides all the numbers equally.
GCD of 555, 240, 67, 329 is 1
GCD(555, 240, 67, 329) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 555, 240, 67, 329 is 1
GCD(555, 240, 67, 329) = 1
Given Input numbers are 555, 240, 67, 329
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 329
List of positive integer divisors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Greatest Common Divisior
We found the divisors of 555, 240, 67, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 555, 240, 67, 329 is 1.
Therefore, GCD of numbers 555, 240, 67, 329 is 1
Given Input Data is 555, 240, 67, 329
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 67 is 67
Prime Factorization of 329 is 7 x 47
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(555, 240) = 8880
GCD(555, 240) = ( 555 x 240 ) / 8880
GCD(555, 240) = 133200 / 8880
GCD(555, 240) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 67) = 1005
GCD(15, 67) = ( 15 x 67 ) / 1005
GCD(15, 67) = 1005 / 1005
GCD(15, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 329
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 329) = 329
GCD(1, 329) = ( 1 x 329 ) / 329
GCD(1, 329) = 329 / 329
GCD(1, 329) = 1
GCD of 555, 240, 67, 329 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 555, 240, 67, 329?
GCD of 555, 240, 67, 329 is 1
2. Where do I get the detailed procedure to find GCD of 555, 240, 67, 329?
You can find a detailed procedure to find GCD of 555, 240, 67, 329 on our page.
3. How to find GCD of 555, 240, 67, 329 on a calculator?
You can find the GCD of 555, 240, 67, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.