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 171, 789, 812, 320 i.e. 1 largest integer that divides all the numbers equally.
GCD of 171, 789, 812, 320 is 1
GCD(171, 789, 812, 320) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 171, 789, 812, 320 is 1
GCD(171, 789, 812, 320) = 1
Given Input numbers are 171, 789, 812, 320
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 171
List of positive integer divisors of 171 that divides 171 without a remainder.
1, 3, 9, 19, 57, 171
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 320
List of positive integer divisors of 320 that divides 320 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Greatest Common Divisior
We found the divisors of 171, 789, 812, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 171, 789, 812, 320 is 1.
Therefore, GCD of numbers 171, 789, 812, 320 is 1
Given Input Data is 171, 789, 812, 320
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 171 is 3 x 3 x 19
Prime Factorization of 789 is 3 x 263
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5
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(171, 789) = 44973
GCD(171, 789) = ( 171 x 789 ) / 44973
GCD(171, 789) = 134919 / 44973
GCD(171, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 812
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 812) = 2436
GCD(3, 812) = ( 3 x 812 ) / 2436
GCD(3, 812) = 2436 / 2436
GCD(3, 812) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 320
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 320) = 320
GCD(1, 320) = ( 1 x 320 ) / 320
GCD(1, 320) = 320 / 320
GCD(1, 320) = 1
GCD of 171, 789, 812, 320 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 171, 789, 812, 320?
GCD of 171, 789, 812, 320 is 1
2. Where do I get the detailed procedure to find GCD of 171, 789, 812, 320?
You can find a detailed procedure to find GCD of 171, 789, 812, 320 on our page.
3. How to find GCD of 171, 789, 812, 320 on a calculator?
You can find the GCD of 171, 789, 812, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.