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, 829, 75, 805 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 829, 75, 805 is 1
GCD(444, 829, 75, 805) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 829, 75, 805 is 1
GCD(444, 829, 75, 805) = 1
Given Input numbers are 444, 829, 75, 805
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 829
List of positive integer divisors of 829 that divides 829 without a remainder.
1, 829
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Greatest Common Divisior
We found the divisors of 444, 829, 75, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 829, 75, 805 is 1.
Therefore, GCD of numbers 444, 829, 75, 805 is 1
Given Input Data is 444, 829, 75, 805
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 829 is 829
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 805 is 5 x 7 x 23
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, 829) = 368076
GCD(444, 829) = ( 444 x 829 ) / 368076
GCD(444, 829) = 368076 / 368076
GCD(444, 829) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 805
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 805) = 805
GCD(1, 805) = ( 1 x 805 ) / 805
GCD(1, 805) = 805 / 805
GCD(1, 805) = 1
GCD of 444, 829, 75, 805 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 829, 75, 805?
GCD of 444, 829, 75, 805 is 1
2. Where do I get the detailed procedure to find GCD of 444, 829, 75, 805?
You can find a detailed procedure to find GCD of 444, 829, 75, 805 on our page.
3. How to find GCD of 444, 829, 75, 805 on a calculator?
You can find the GCD of 444, 829, 75, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.