Online GCD Calculator is useful to find the GCD of 311, 107, 397, 822 quickly. Get the easiest ways to solve the greatest common divisor of 311, 107, 397, 822 i.e 1 in different methods as follows.
Given Input numbers are 311, 107, 397, 822
In the factoring method, we have to find the divisors of all numbers
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 397 :
The positive integer divisors of 397 that completely divides 397 are.
1, 397
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
GCD of numbers is the greatest common divisor
So, the GCD (311, 107, 397, 822) = 1.
Given numbers are 311, 107, 397, 822
The list of prime factors of all numbers are
Prime factors of 311 are 311
Prime factors of 107 are 107
Prime factors of 397 are 397
Prime factors of 822 are 2 x 3 x 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 311, 107, 397, 822
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(311, 107) = 33277
GCD(311, 107) = ( 311 x 107 ) / 33277
= 311 / 107
= 311
Step2:
LCM(1, 397) = 397
GCD(1, 397) = ( 1 x 397 ) / 397
= 1 / 397
= 1
Step3:
LCM(1, 822) = 822
GCD(1, 822) = ( 1 x 822 ) / 822
= 1 / 822
= 1
So, Greatest Common Divisor of 311, 107, 397, 822 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 311, 107, 397, 822
The greatest common divisor of numbers 311, 107, 397, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 107, 397, 822 is 1.
1. What is the GCD of 311, 107, 397, 822?
GCD of given numbers 311, 107, 397, 822 is 1
2. How to calculate the greatest common divisor of 311, 107, 397, 822?
We can find the highest common divisor of 311, 107, 397, 822 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 311, 107, 397, 822 i.e 1.
3. How can I use the GCD of 311, 107, 397, 822Calculator?
Out the numbers 311, 107, 397, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.