Online GCD Calculator is useful to find the GCD of 381, 108, 256, 387 quickly. Get the easiest ways to solve the greatest common divisor of 381, 108, 256, 387 i.e 1 in different methods as follows.
Given Input numbers are 381, 108, 256, 387
In the factoring method, we have to find the divisors of all numbers
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
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 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
GCD of numbers is the greatest common divisor
So, the GCD (381, 108, 256, 387) = 1.
Given numbers are 381, 108, 256, 387
The list of prime factors of all numbers are
Prime factors of 381 are 3 x 127
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 387 are 3 x 3 x 43
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 381, 108, 256, 387
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(381, 108) = 13716
GCD(381, 108) = ( 381 x 108 ) / 13716
= 381 / 108
= 381
Step2:
LCM(3, 256) = 768
GCD(3, 256) = ( 3 x 256 ) / 768
= 3 / 256
= 3
Step3:
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
= 1 / 387
= 1
So, Greatest Common Divisor of 381, 108, 256, 387 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 381, 108, 256, 387
The greatest common divisor of numbers 381, 108, 256, 387 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 108, 256, 387 is 1.
1. What is the GCD of 381, 108, 256, 387?
GCD of given numbers 381, 108, 256, 387 is 1
2. How to calculate the greatest common divisor of 381, 108, 256, 387?
We can find the highest common divisor of 381, 108, 256, 387 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 381, 108, 256, 387 i.e 1.
3. How can I use the GCD of 381, 108, 256, 387Calculator?
Out the numbers 381, 108, 256, 387 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.