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, 496, 73, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 366, 496, 73, 160 is 1
GCD(366, 496, 73, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 366, 496, 73, 160 is 1
GCD(366, 496, 73, 160) = 1
Given Input numbers are 366, 496, 73, 160
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 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 366, 496, 73, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 366, 496, 73, 160 is 1.
Therefore, GCD of numbers 366, 496, 73, 160 is 1
Given Input Data is 366, 496, 73, 160
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 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 73 is 73
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 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(366, 496) = 90768
GCD(366, 496) = ( 366 x 496 ) / 90768
GCD(366, 496) = 181536 / 90768
GCD(366, 496) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 366, 496, 73, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 366, 496, 73, 160?
GCD of 366, 496, 73, 160 is 1
2. Where do I get the detailed procedure to find GCD of 366, 496, 73, 160?
You can find a detailed procedure to find GCD of 366, 496, 73, 160 on our page.
3. How to find GCD of 366, 496, 73, 160 on a calculator?
You can find the GCD of 366, 496, 73, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.