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 365, 556, 46 i.e. 1 largest integer that divides all the numbers equally.
GCD of 365, 556, 46 is 1
GCD(365, 556, 46) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 365, 556, 46 is 1
GCD(365, 556, 46) = 1
Given Input numbers are 365, 556, 46
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Greatest Common Divisior
We found the divisors of 365, 556, 46 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 365, 556, 46 is 1.
Therefore, GCD of numbers 365, 556, 46 is 1
Given Input Data is 365, 556, 46
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 365 is 5 x 73
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 46 is 2 x 23
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(365, 556) = 202940
GCD(365, 556) = ( 365 x 556 ) / 202940
GCD(365, 556) = 202940 / 202940
GCD(365, 556) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
GCD of 365, 556, 46 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 365, 556, 46?
GCD of 365, 556, 46 is 1
2. Where do I get the detailed procedure to find GCD of 365, 556, 46?
You can find a detailed procedure to find GCD of 365, 556, 46 on our page.
3. How to find GCD of 365, 556, 46 on a calculator?
You can find the GCD of 365, 556, 46 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.