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 345, 129, 55, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 345, 129, 55, 406 is 1
GCD(345, 129, 55, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 345, 129, 55, 406 is 1
GCD(345, 129, 55, 406) = 1
Given Input numbers are 345, 129, 55, 406
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 345
List of positive integer divisors of 345 that divides 345 without a remainder.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 129
List of positive integer divisors of 129 that divides 129 without a remainder.
1, 3, 43, 129
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 345, 129, 55, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 345, 129, 55, 406 is 1.
Therefore, GCD of numbers 345, 129, 55, 406 is 1
Given Input Data is 345, 129, 55, 406
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 345 is 3 x 5 x 23
Prime Factorization of 129 is 3 x 43
Prime Factorization of 55 is 5 x 11
Prime Factorization of 406 is 2 x 7 x 29
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(345, 129) = 14835
GCD(345, 129) = ( 345 x 129 ) / 14835
GCD(345, 129) = 44505 / 14835
GCD(345, 129) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 55) = 165
GCD(3, 55) = ( 3 x 55 ) / 165
GCD(3, 55) = 165 / 165
GCD(3, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 345, 129, 55, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 345, 129, 55, 406?
GCD of 345, 129, 55, 406 is 1
2. Where do I get the detailed procedure to find GCD of 345, 129, 55, 406?
You can find a detailed procedure to find GCD of 345, 129, 55, 406 on our page.
3. How to find GCD of 345, 129, 55, 406 on a calculator?
You can find the GCD of 345, 129, 55, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.