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 819, 667, 53 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 667, 53 is 1
GCD(819, 667, 53) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 667, 53 is 1
GCD(819, 667, 53) = 1
Given Input numbers are 819, 667, 53
To find the GCD of numbers using factoring list out all the divisors of each number
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 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Greatest Common Divisior
We found the divisors of 819, 667, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 667, 53 is 1.
Therefore, GCD of numbers 819, 667, 53 is 1
Given Input Data is 819, 667, 53
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 819 is 3 x 3 x 7 x 13
Prime Factorization of 667 is 23 x 29
Prime Factorization of 53 is 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(819, 667) = 546273
GCD(819, 667) = ( 819 x 667 ) / 546273
GCD(819, 667) = 546273 / 546273
GCD(819, 667) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
GCD of 819, 667, 53 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 667, 53?
GCD of 819, 667, 53 is 1
2. Where do I get the detailed procedure to find GCD of 819, 667, 53?
You can find a detailed procedure to find GCD of 819, 667, 53 on our page.
3. How to find GCD of 819, 667, 53 on a calculator?
You can find the GCD of 819, 667, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.