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 576, 819, 38, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 819, 38, 770 is 1
GCD(576, 819, 38, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 819, 38, 770 is 1
GCD(576, 819, 38, 770) = 1
Given Input numbers are 576, 819, 38, 770
To find the GCD of numbers using factoring list out all the divisors of each number
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 819
List of positive integer divisors of 819 that divides 819 without a remainder.
1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
Divisors of 38
List of positive integer divisors of 38 that divides 38 without a remainder.
1, 2, 19, 38
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Greatest Common Divisior
We found the divisors of 576, 819, 38, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 819, 38, 770 is 1.
Therefore, GCD of numbers 576, 819, 38, 770 is 1
Given Input Data is 576, 819, 38, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 38 is 2 x 19
Prime Factorization of 770 is 2 x 5 x 7 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(576, 819) = 52416
GCD(576, 819) = ( 576 x 819 ) / 52416
GCD(576, 819) = 471744 / 52416
GCD(576, 819) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 38
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 38) = 342
GCD(9, 38) = ( 9 x 38 ) / 342
GCD(9, 38) = 342 / 342
GCD(9, 38) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 576, 819, 38, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 819, 38, 770?
GCD of 576, 819, 38, 770 is 1
2. Where do I get the detailed procedure to find GCD of 576, 819, 38, 770?
You can find a detailed procedure to find GCD of 576, 819, 38, 770 on our page.
3. How to find GCD of 576, 819, 38, 770 on a calculator?
You can find the GCD of 576, 819, 38, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.