Online GCD Calculator is useful to find the GCD of 822, 108, 309, 404 quickly. Get the easiest ways to solve the greatest common divisor of 822, 108, 309, 404 i.e 1 in different methods as follows.
Given Input numbers are 822, 108, 309, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (822, 108, 309, 404) = 1.
Given numbers are 822, 108, 309, 404
The list of prime factors of all numbers are
Prime factors of 822 are 2 x 3 x 137
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 309 are 3 x 103
Prime factors of 404 are 2 x 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 822, 108, 309, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(822, 108) = 14796
GCD(822, 108) = ( 822 x 108 ) / 14796
= 822 / 108
= 822
Step2:
LCM(6, 309) = 618
GCD(6, 309) = ( 6 x 309 ) / 618
= 6 / 309
= 6
Step3:
LCM(3, 404) = 1212
GCD(3, 404) = ( 3 x 404 ) / 1212
= 3 / 404
= 3
So, Greatest Common Divisor of 822, 108, 309, 404 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 822, 108, 309, 404
The greatest common divisor of numbers 822, 108, 309, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 108, 309, 404 is 1.
1. What is the GCD of 822, 108, 309, 404?
GCD of given numbers 822, 108, 309, 404 is 1
2. How to calculate the greatest common divisor of 822, 108, 309, 404?
We can find the highest common divisor of 822, 108, 309, 404 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 822, 108, 309, 404 i.e 1.
3. How can I use the GCD of 822, 108, 309, 404Calculator?
Out the numbers 822, 108, 309, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.