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 444, 180, 546, 793 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 180, 546, 793 is 1
GCD(444, 180, 546, 793) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 180, 546, 793 is 1
GCD(444, 180, 546, 793) = 1
Given Input numbers are 444, 180, 546, 793
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
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 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 793
List of positive integer divisors of 793 that divides 793 without a remainder.
1, 13, 61, 793
Greatest Common Divisior
We found the divisors of 444, 180, 546, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 180, 546, 793 is 1.
Therefore, GCD of numbers 444, 180, 546, 793 is 1
Given Input Data is 444, 180, 546, 793
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 793 is 13 x 61
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(444, 180) = 6660
GCD(444, 180) = ( 444 x 180 ) / 6660
GCD(444, 180) = 79920 / 6660
GCD(444, 180) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 546) = 1092
GCD(12, 546) = ( 12 x 546 ) / 1092
GCD(12, 546) = 6552 / 1092
GCD(12, 546) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 793
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 793) = 4758
GCD(6, 793) = ( 6 x 793 ) / 4758
GCD(6, 793) = 4758 / 4758
GCD(6, 793) = 1
GCD of 444, 180, 546, 793 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 180, 546, 793?
GCD of 444, 180, 546, 793 is 1
2. Where do I get the detailed procedure to find GCD of 444, 180, 546, 793?
You can find a detailed procedure to find GCD of 444, 180, 546, 793 on our page.
3. How to find GCD of 444, 180, 546, 793 on a calculator?
You can find the GCD of 444, 180, 546, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.