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, 771, 576, 440 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 771, 576, 440 is 1
GCD(444, 771, 576, 440) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 771, 576, 440 is 1
GCD(444, 771, 576, 440) = 1
Given Input numbers are 444, 771, 576, 440
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 771
List of positive integer divisors of 771 that divides 771 without a remainder.
1, 3, 257, 771
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Greatest Common Divisior
We found the divisors of 444, 771, 576, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 771, 576, 440 is 1.
Therefore, GCD of numbers 444, 771, 576, 440 is 1
Given Input Data is 444, 771, 576, 440
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 771 is 3 x 257
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
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, 771) = 114108
GCD(444, 771) = ( 444 x 771 ) / 114108
GCD(444, 771) = 342324 / 114108
GCD(444, 771) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 576) = 576
GCD(3, 576) = ( 3 x 576 ) / 576
GCD(3, 576) = 1728 / 576
GCD(3, 576) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 440
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 440) = 1320
GCD(3, 440) = ( 3 x 440 ) / 1320
GCD(3, 440) = 1320 / 1320
GCD(3, 440) = 1
GCD of 444, 771, 576, 440 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 771, 576, 440?
GCD of 444, 771, 576, 440 is 1
2. Where do I get the detailed procedure to find GCD of 444, 771, 576, 440?
You can find a detailed procedure to find GCD of 444, 771, 576, 440 on our page.
3. How to find GCD of 444, 771, 576, 440 on a calculator?
You can find the GCD of 444, 771, 576, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.