GCD of 366, 990, 505 Calculator
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 366, 990, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 990, 505 is 1
GCD(366, 990, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 990, 505 is 1
GCD(366, 990, 505) = 1
GCDof 366,990,505 is 1
Given Input numbers are 366, 990, 505
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 366
List of positive integer divisors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183, 366
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 366, 990, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 990, 505 is 1.
Therefore, GCD of numbers 366, 990, 505 is 1
Given Input Data is 366, 990, 505
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 366 is 2 x 3 x 61
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 505 is 5 x 101
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 366, 990, 505 using LCM Formula
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(366, 990) = 60390
GCD(366, 990) = ( 366 x 990 ) / 60390
GCD(366, 990) = 362340 / 60390
GCD(366, 990) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 505) = 3030
GCD(6, 505) = ( 6 x 505 ) / 3030
GCD(6, 505) = 3030 / 3030
GCD(6, 505) = 1
GCD of 366, 990, 505 is 1
GCD of Numbers Calculation Examples
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FAQs on GCD of numbers 366, 990, 505
1. What is the GCD of 366, 990, 505?
GCD of 366, 990, 505 is 1
2. Where do I get the detailed procedure to find GCD of 366, 990, 505?
You can find a detailed procedure to find GCD of 366, 990, 505 on our page.
3. How to find GCD of 366, 990, 505 on a calculator?
You can find the GCD of 366, 990, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.