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, 924, 72, 691 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 924, 72, 691 is 1
GCD(819, 924, 72, 691) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 924, 72, 691 is 1
GCD(819, 924, 72, 691) = 1
Given Input numbers are 819, 924, 72, 691
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 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Greatest Common Divisior
We found the divisors of 819, 924, 72, 691 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 924, 72, 691 is 1.
Therefore, GCD of numbers 819, 924, 72, 691 is 1
Given Input Data is 819, 924, 72, 691
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 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 691 is 691
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, 924) = 36036
GCD(819, 924) = ( 819 x 924 ) / 36036
GCD(819, 924) = 756756 / 36036
GCD(819, 924) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 72) = 504
GCD(21, 72) = ( 21 x 72 ) / 504
GCD(21, 72) = 1512 / 504
GCD(21, 72) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 691) = 2073
GCD(3, 691) = ( 3 x 691 ) / 2073
GCD(3, 691) = 2073 / 2073
GCD(3, 691) = 1
GCD of 819, 924, 72, 691 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 924, 72, 691?
GCD of 819, 924, 72, 691 is 1
2. Where do I get the detailed procedure to find GCD of 819, 924, 72, 691?
You can find a detailed procedure to find GCD of 819, 924, 72, 691 on our page.
3. How to find GCD of 819, 924, 72, 691 on a calculator?
You can find the GCD of 819, 924, 72, 691 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.