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 77, 387, 339, 822 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 387, 339, 822 is 1
GCD(77, 387, 339, 822) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 387, 339, 822 is 1
GCD(77, 387, 339, 822) = 1
Given Input numbers are 77, 387, 339, 822
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Greatest Common Divisior
We found the divisors of 77, 387, 339, 822 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 387, 339, 822 is 1.
Therefore, GCD of numbers 77, 387, 339, 822 is 1
Given Input Data is 77, 387, 339, 822
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 339 is 3 x 113
Prime Factorization of 822 is 2 x 3 x 137
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(77, 387) = 29799
GCD(77, 387) = ( 77 x 387 ) / 29799
GCD(77, 387) = 29799 / 29799
GCD(77, 387) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 339) = 339
GCD(1, 339) = ( 1 x 339 ) / 339
GCD(1, 339) = 339 / 339
GCD(1, 339) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 822
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
GCD(1, 822) = 822 / 822
GCD(1, 822) = 1
GCD of 77, 387, 339, 822 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 387, 339, 822?
GCD of 77, 387, 339, 822 is 1
2. Where do I get the detailed procedure to find GCD of 77, 387, 339, 822?
You can find a detailed procedure to find GCD of 77, 387, 339, 822 on our page.
3. How to find GCD of 77, 387, 339, 822 on a calculator?
You can find the GCD of 77, 387, 339, 822 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.