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, 508, 33, 922 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 508, 33, 922 is 1
GCD(444, 508, 33, 922) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 508, 33, 922 is 1
GCD(444, 508, 33, 922) = 1
Given Input numbers are 444, 508, 33, 922
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 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Greatest Common Divisior
We found the divisors of 444, 508, 33, 922 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 508, 33, 922 is 1.
Therefore, GCD of numbers 444, 508, 33, 922 is 1
Given Input Data is 444, 508, 33, 922
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 508 is 2 x 2 x 127
Prime Factorization of 33 is 3 x 11
Prime Factorization of 922 is 2 x 461
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, 508) = 56388
GCD(444, 508) = ( 444 x 508 ) / 56388
GCD(444, 508) = 225552 / 56388
GCD(444, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 33) = 132
GCD(4, 33) = ( 4 x 33 ) / 132
GCD(4, 33) = 132 / 132
GCD(4, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 922
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 922) = 922
GCD(1, 922) = ( 1 x 922 ) / 922
GCD(1, 922) = 922 / 922
GCD(1, 922) = 1
GCD of 444, 508, 33, 922 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 508, 33, 922?
GCD of 444, 508, 33, 922 is 1
2. Where do I get the detailed procedure to find GCD of 444, 508, 33, 922?
You can find a detailed procedure to find GCD of 444, 508, 33, 922 on our page.
3. How to find GCD of 444, 508, 33, 922 on a calculator?
You can find the GCD of 444, 508, 33, 922 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.