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, 694, 424, 172 i.e. 1 largest integer that divides all the numbers equally.
GCD of 819, 694, 424, 172 is 1
GCD(819, 694, 424, 172) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 819, 694, 424, 172 is 1
GCD(819, 694, 424, 172) = 1
Given Input numbers are 819, 694, 424, 172
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 694
List of positive integer divisors of 694 that divides 694 without a remainder.
1, 2, 347, 694
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 172
List of positive integer divisors of 172 that divides 172 without a remainder.
1, 2, 4, 43, 86, 172
Greatest Common Divisior
We found the divisors of 819, 694, 424, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 694, 424, 172 is 1.
Therefore, GCD of numbers 819, 694, 424, 172 is 1
Given Input Data is 819, 694, 424, 172
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 694 is 2 x 347
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 172 is 2 x 2 x 43
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, 694) = 568386
GCD(819, 694) = ( 819 x 694 ) / 568386
GCD(819, 694) = 568386 / 568386
GCD(819, 694) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 172
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 172) = 172
GCD(1, 172) = ( 1 x 172 ) / 172
GCD(1, 172) = 172 / 172
GCD(1, 172) = 1
GCD of 819, 694, 424, 172 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 819, 694, 424, 172?
GCD of 819, 694, 424, 172 is 1
2. Where do I get the detailed procedure to find GCD of 819, 694, 424, 172?
You can find a detailed procedure to find GCD of 819, 694, 424, 172 on our page.
3. How to find GCD of 819, 694, 424, 172 on a calculator?
You can find the GCD of 819, 694, 424, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.