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 441, 148, 183, 399 i.e. 1 largest integer that divides all the numbers equally.
GCD of 441, 148, 183, 399 is 1
GCD(441, 148, 183, 399) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 441, 148, 183, 399 is 1
GCD(441, 148, 183, 399) = 1
Given Input numbers are 441, 148, 183, 399
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 441
List of positive integer divisors of 441 that divides 441 without a remainder.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Greatest Common Divisior
We found the divisors of 441, 148, 183, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 441, 148, 183, 399 is 1.
Therefore, GCD of numbers 441, 148, 183, 399 is 1
Given Input Data is 441, 148, 183, 399
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 441 is 3 x 3 x 7 x 7
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 183 is 3 x 61
Prime Factorization of 399 is 3 x 7 x 19
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(441, 148) = 65268
GCD(441, 148) = ( 441 x 148 ) / 65268
GCD(441, 148) = 65268 / 65268
GCD(441, 148) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 183) = 183
GCD(1, 183) = ( 1 x 183 ) / 183
GCD(1, 183) = 183 / 183
GCD(1, 183) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 399
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 399) = 399
GCD(1, 399) = ( 1 x 399 ) / 399
GCD(1, 399) = 399 / 399
GCD(1, 399) = 1
GCD of 441, 148, 183, 399 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 441, 148, 183, 399?
GCD of 441, 148, 183, 399 is 1
2. Where do I get the detailed procedure to find GCD of 441, 148, 183, 399?
You can find a detailed procedure to find GCD of 441, 148, 183, 399 on our page.
3. How to find GCD of 441, 148, 183, 399 on a calculator?
You can find the GCD of 441, 148, 183, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.