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 815, 629, 77, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 815, 629, 77, 322 is 1
GCD(815, 629, 77, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 815, 629, 77, 322 is 1
GCD(815, 629, 77, 322) = 1
Given Input numbers are 815, 629, 77, 322
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 815
List of positive integer divisors of 815 that divides 815 without a remainder.
1, 5, 163, 815
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 815, 629, 77, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 815, 629, 77, 322 is 1.
Therefore, GCD of numbers 815, 629, 77, 322 is 1
Given Input Data is 815, 629, 77, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 815 is 5 x 163
Prime Factorization of 629 is 17 x 37
Prime Factorization of 77 is 7 x 11
Prime Factorization of 322 is 2 x 7 x 23
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(815, 629) = 512635
GCD(815, 629) = ( 815 x 629 ) / 512635
GCD(815, 629) = 512635 / 512635
GCD(815, 629) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 77) = 77
GCD(1, 77) = ( 1 x 77 ) / 77
GCD(1, 77) = 77 / 77
GCD(1, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 815, 629, 77, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 815, 629, 77, 322?
GCD of 815, 629, 77, 322 is 1
2. Where do I get the detailed procedure to find GCD of 815, 629, 77, 322?
You can find a detailed procedure to find GCD of 815, 629, 77, 322 on our page.
3. How to find GCD of 815, 629, 77, 322 on a calculator?
You can find the GCD of 815, 629, 77, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.