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 146, 553, 239, 405 i.e. 1 largest integer that divides all the numbers equally.
GCD of 146, 553, 239, 405 is 1
GCD(146, 553, 239, 405) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 146, 553, 239, 405 is 1
GCD(146, 553, 239, 405) = 1
Given Input numbers are 146, 553, 239, 405
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 239
List of positive integer divisors of 239 that divides 239 without a remainder.
1, 239
Divisors of 405
List of positive integer divisors of 405 that divides 405 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135, 405
Greatest Common Divisior
We found the divisors of 146, 553, 239, 405 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 553, 239, 405 is 1.
Therefore, GCD of numbers 146, 553, 239, 405 is 1
Given Input Data is 146, 553, 239, 405
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 146 is 2 x 73
Prime Factorization of 553 is 7 x 79
Prime Factorization of 239 is 239
Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5
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(146, 553) = 80738
GCD(146, 553) = ( 146 x 553 ) / 80738
GCD(146, 553) = 80738 / 80738
GCD(146, 553) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 239
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 239) = 239
GCD(1, 239) = ( 1 x 239 ) / 239
GCD(1, 239) = 239 / 239
GCD(1, 239) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 405
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 405) = 405
GCD(1, 405) = ( 1 x 405 ) / 405
GCD(1, 405) = 405 / 405
GCD(1, 405) = 1
GCD of 146, 553, 239, 405 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 146, 553, 239, 405?
GCD of 146, 553, 239, 405 is 1
2. Where do I get the detailed procedure to find GCD of 146, 553, 239, 405?
You can find a detailed procedure to find GCD of 146, 553, 239, 405 on our page.
3. How to find GCD of 146, 553, 239, 405 on a calculator?
You can find the GCD of 146, 553, 239, 405 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.