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 180, 601, 46, 332 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 601, 46, 332 is 1
GCD(180, 601, 46, 332) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 601, 46, 332 is 1
GCD(180, 601, 46, 332) = 1
Given Input numbers are 180, 601, 46, 332
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 180, 601, 46, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 601, 46, 332 is 1.
Therefore, GCD of numbers 180, 601, 46, 332 is 1
Given Input Data is 180, 601, 46, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 601 is 601
Prime Factorization of 46 is 2 x 23
Prime Factorization of 332 is 2 x 2 x 83
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(180, 601) = 108180
GCD(180, 601) = ( 180 x 601 ) / 108180
GCD(180, 601) = 108180 / 108180
GCD(180, 601) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
GCD of 180, 601, 46, 332 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 601, 46, 332?
GCD of 180, 601, 46, 332 is 1
2. Where do I get the detailed procedure to find GCD of 180, 601, 46, 332?
You can find a detailed procedure to find GCD of 180, 601, 46, 332 on our page.
3. How to find GCD of 180, 601, 46, 332 on a calculator?
You can find the GCD of 180, 601, 46, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.