Online GCD Calculator is useful to find the GCD of 311, 309, 888, 400 quickly. Get the easiest ways to solve the greatest common divisor of 311, 309, 888, 400 i.e 1 in different methods as follows.
Given Input numbers are 311, 309, 888, 400
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 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 888 :
The positive integer divisors of 888 that completely divides 888 are.
1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
GCD of numbers is the greatest common divisor
So, the GCD (311, 309, 888, 400) = 1.
Given numbers are 311, 309, 888, 400
The list of prime factors of all numbers are
Prime factors of 311 are 311
Prime factors of 309 are 3 x 103
Prime factors of 888 are 2 x 2 x 2 x 3 x 37
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 311, 309, 888, 400
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(311, 309) = 96099
GCD(311, 309) = ( 311 x 309 ) / 96099
= 311 / 309
= 311
Step2:
LCM(1, 888) = 888
GCD(1, 888) = ( 1 x 888 ) / 888
= 1 / 888
= 1
Step3:
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
= 1 / 400
= 1
So, Greatest Common Divisor of 311, 309, 888, 400 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 311, 309, 888, 400
The greatest common divisor of numbers 311, 309, 888, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 309, 888, 400 is 1.
1. What is the GCD of 311, 309, 888, 400?
GCD of given numbers 311, 309, 888, 400 is 1
2. How to calculate the greatest common divisor of 311, 309, 888, 400?
We can find the highest common divisor of 311, 309, 888, 400 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, 309, 888, 400 i.e 1.
3. How can I use the GCD of 311, 309, 888, 400Calculator?
Out the numbers 311, 309, 888, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.