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, 133, 169, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 133, 169, 106 is 1
GCD(444, 133, 169, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 133, 169, 106 is 1
GCD(444, 133, 169, 106) = 1
Given Input numbers are 444, 133, 169, 106
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 133
List of positive integer divisors of 133 that divides 133 without a remainder.
1, 7, 19, 133
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 444, 133, 169, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 133, 169, 106 is 1.
Therefore, GCD of numbers 444, 133, 169, 106 is 1
Given Input Data is 444, 133, 169, 106
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 133 is 7 x 19
Prime Factorization of 169 is 13 x 13
Prime Factorization of 106 is 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(444, 133) = 59052
GCD(444, 133) = ( 444 x 133 ) / 59052
GCD(444, 133) = 59052 / 59052
GCD(444, 133) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 169) = 169
GCD(1, 169) = ( 1 x 169 ) / 169
GCD(1, 169) = 169 / 169
GCD(1, 169) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 444, 133, 169, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 133, 169, 106?
GCD of 444, 133, 169, 106 is 1
2. Where do I get the detailed procedure to find GCD of 444, 133, 169, 106?
You can find a detailed procedure to find GCD of 444, 133, 169, 106 on our page.
3. How to find GCD of 444, 133, 169, 106 on a calculator?
You can find the GCD of 444, 133, 169, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.