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 822, 188, 369, 677 i.e. 1 largest integer that divides all the numbers equally.
GCD of 822, 188, 369, 677 is 1
GCD(822, 188, 369, 677) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 822, 188, 369, 677 is 1
GCD(822, 188, 369, 677) = 1
Given Input numbers are 822, 188, 369, 677
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 822
List of positive integer divisors of 822 that divides 822 without a remainder.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Greatest Common Divisior
We found the divisors of 822, 188, 369, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 188, 369, 677 is 1.
Therefore, GCD of numbers 822, 188, 369, 677 is 1
Given Input Data is 822, 188, 369, 677
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 822 is 2 x 3 x 137
Prime Factorization of 188 is 2 x 2 x 47
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 677 is 677
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(822, 188) = 77268
GCD(822, 188) = ( 822 x 188 ) / 77268
GCD(822, 188) = 154536 / 77268
GCD(822, 188) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 369) = 738
GCD(2, 369) = ( 2 x 369 ) / 738
GCD(2, 369) = 738 / 738
GCD(2, 369) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 677) = 677
GCD(1, 677) = ( 1 x 677 ) / 677
GCD(1, 677) = 677 / 677
GCD(1, 677) = 1
GCD of 822, 188, 369, 677 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 822, 188, 369, 677?
GCD of 822, 188, 369, 677 is 1
2. Where do I get the detailed procedure to find GCD of 822, 188, 369, 677?
You can find a detailed procedure to find GCD of 822, 188, 369, 677 on our page.
3. How to find GCD of 822, 188, 369, 677 on a calculator?
You can find the GCD of 822, 188, 369, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.