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, 300, 61, 194 i.e. 1 largest integer that divides all the numbers equally.
GCD of 180, 300, 61, 194 is 1
GCD(180, 300, 61, 194) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 300, 61, 194 is 1
GCD(180, 300, 61, 194) = 1
Given Input numbers are 180, 300, 61, 194
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 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 194
List of positive integer divisors of 194 that divides 194 without a remainder.
1, 2, 97, 194
Greatest Common Divisior
We found the divisors of 180, 300, 61, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 300, 61, 194 is 1.
Therefore, GCD of numbers 180, 300, 61, 194 is 1
Given Input Data is 180, 300, 61, 194
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 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 61 is 61
Prime Factorization of 194 is 2 x 97
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, 300) = 900
GCD(180, 300) = ( 180 x 300 ) / 900
GCD(180, 300) = 54000 / 900
GCD(180, 300) = 60
Step2:
Here we consider the GCD from the above i.e. 60 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(60, 61) = 3660
GCD(60, 61) = ( 60 x 61 ) / 3660
GCD(60, 61) = 3660 / 3660
GCD(60, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 194
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 194) = 194
GCD(1, 194) = ( 1 x 194 ) / 194
GCD(1, 194) = 194 / 194
GCD(1, 194) = 1
GCD of 180, 300, 61, 194 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 300, 61, 194?
GCD of 180, 300, 61, 194 is 1
2. Where do I get the detailed procedure to find GCD of 180, 300, 61, 194?
You can find a detailed procedure to find GCD of 180, 300, 61, 194 on our page.
3. How to find GCD of 180, 300, 61, 194 on a calculator?
You can find the GCD of 180, 300, 61, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.