Online GCD Calculator is useful to find the GCD of 400, 231, 139, 256 quickly. Get the easiest ways to solve the greatest common divisor of 400, 231, 139, 256 i.e 1 in different methods as follows.
Given Input numbers are 400, 231, 139, 256
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 231 :
The positive integer divisors of 231 that completely divides 231 are.
1, 3, 7, 11, 21, 33, 77, 231
Divisors of 139 :
The positive integer divisors of 139 that completely divides 139 are.
1, 139
Divisors of 256 :
The positive integer divisors of 256 that completely divides 256 are.
1, 2, 4, 8, 16, 32, 64, 128, 256
GCD of numbers is the greatest common divisor
So, the GCD (400, 231, 139, 256) = 1.
Given numbers are 400, 231, 139, 256
The list of prime factors of all numbers are
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 231 are 3 x 7 x 11
Prime factors of 139 are 139
Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 400, 231, 139, 256
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 231) = 92400
GCD(400, 231) = ( 400 x 231 ) / 92400
= 400 / 231
= 400
Step2:
LCM(1, 139) = 139
GCD(1, 139) = ( 1 x 139 ) / 139
= 1 / 139
= 1
Step3:
LCM(1, 256) = 256
GCD(1, 256) = ( 1 x 256 ) / 256
= 1 / 256
= 1
So, Greatest Common Divisor of 400, 231, 139, 256 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 231, 139, 256
The greatest common divisor of numbers 400, 231, 139, 256 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 231, 139, 256 is 1.
1. What is the GCD of 400, 231, 139, 256?
GCD of given numbers 400, 231, 139, 256 is 1
2. How to calculate the greatest common divisor of 400, 231, 139, 256?
We can find the highest common divisor of 400, 231, 139, 256 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 400, 231, 139, 256 i.e 1.
3. How can I use the GCD of 400, 231, 139, 256Calculator?
Out the numbers 400, 231, 139, 256 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.