Online GCD Calculator is useful to find the GCD of 311, 940, 105, 392 quickly. Get the easiest ways to solve the greatest common divisor of 311, 940, 105, 392 i.e 1 in different methods as follows.
Given Input numbers are 311, 940, 105, 392
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 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 392 :
The positive integer divisors of 392 that completely divides 392 are.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
GCD of numbers is the greatest common divisor
So, the GCD (311, 940, 105, 392) = 1.
Given numbers are 311, 940, 105, 392
The list of prime factors of all numbers are
Prime factors of 311 are 311
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 105 are 3 x 5 x 7
Prime factors of 392 are 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 311, 940, 105, 392
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(311, 940) = 292340
GCD(311, 940) = ( 311 x 940 ) / 292340
= 311 / 940
= 311
Step2:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
Step3:
LCM(1, 392) = 392
GCD(1, 392) = ( 1 x 392 ) / 392
= 1 / 392
= 1
So, Greatest Common Divisor of 311, 940, 105, 392 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 311, 940, 105, 392
The greatest common divisor of numbers 311, 940, 105, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 311, 940, 105, 392 is 1.
1. What is the GCD of 311, 940, 105, 392?
GCD of given numbers 311, 940, 105, 392 is 1
2. How to calculate the greatest common divisor of 311, 940, 105, 392?
We can find the highest common divisor of 311, 940, 105, 392 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, 940, 105, 392 i.e 1.
3. How can I use the GCD of 311, 940, 105, 392Calculator?
Out the numbers 311, 940, 105, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.