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 81, 444, 689, 424 i.e. 1 largest integer that divides all the numbers equally.
GCD of 81, 444, 689, 424 is 1
GCD(81, 444, 689, 424) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 81, 444, 689, 424 is 1
GCD(81, 444, 689, 424) = 1
Given Input numbers are 81, 444, 689, 424
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
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 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Greatest Common Divisior
We found the divisors of 81, 444, 689, 424 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 444, 689, 424 is 1.
Therefore, GCD of numbers 81, 444, 689, 424 is 1
Given Input Data is 81, 444, 689, 424
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 689 is 13 x 53
Prime Factorization of 424 is 2 x 2 x 2 x 53
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(81, 444) = 11988
GCD(81, 444) = ( 81 x 444 ) / 11988
GCD(81, 444) = 35964 / 11988
GCD(81, 444) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 689) = 2067
GCD(3, 689) = ( 3 x 689 ) / 2067
GCD(3, 689) = 2067 / 2067
GCD(3, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
GCD of 81, 444, 689, 424 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 81, 444, 689, 424?
GCD of 81, 444, 689, 424 is 1
2. Where do I get the detailed procedure to find GCD of 81, 444, 689, 424?
You can find a detailed procedure to find GCD of 81, 444, 689, 424 on our page.
3. How to find GCD of 81, 444, 689, 424 on a calculator?
You can find the GCD of 81, 444, 689, 424 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.