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 466, 943, 104, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 466, 943, 104, 180 is 1
GCD(466, 943, 104, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 466, 943, 104, 180 is 1
GCD(466, 943, 104, 180) = 1
Given Input numbers are 466, 943, 104, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 466, 943, 104, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 466, 943, 104, 180 is 1.
Therefore, GCD of numbers 466, 943, 104, 180 is 1
Given Input Data is 466, 943, 104, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 466 is 2 x 233
Prime Factorization of 943 is 23 x 41
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 180 is 2 x 2 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(466, 943) = 439438
GCD(466, 943) = ( 466 x 943 ) / 439438
GCD(466, 943) = 439438 / 439438
GCD(466, 943) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 104) = 104
GCD(1, 104) = ( 1 x 104 ) / 104
GCD(1, 104) = 104 / 104
GCD(1, 104) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 466, 943, 104, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 466, 943, 104, 180?
GCD of 466, 943, 104, 180 is 1
2. Where do I get the detailed procedure to find GCD of 466, 943, 104, 180?
You can find a detailed procedure to find GCD of 466, 943, 104, 180 on our page.
3. How to find GCD of 466, 943, 104, 180 on a calculator?
You can find the GCD of 466, 943, 104, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.