Online GCD Calculator is useful to find the GCD of 400, 889, 367, 512 quickly. Get the easiest ways to solve the greatest common divisor of 400, 889, 367, 512 i.e 1 in different methods as follows.
Given Input numbers are 400, 889, 367, 512
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 889 :
The positive integer divisors of 889 that completely divides 889 are.
1, 7, 127, 889
Divisors of 367 :
The positive integer divisors of 367 that completely divides 367 are.
1, 367
Divisors of 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
GCD of numbers is the greatest common divisor
So, the GCD (400, 889, 367, 512) = 1.
Given numbers are 400, 889, 367, 512
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 889 are 7 x 127
Prime factors of 367 are 367
Prime factors of 512 are 2 x 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, 889, 367, 512
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(400, 889) = 355600
GCD(400, 889) = ( 400 x 889 ) / 355600
= 400 / 889
= 400
Step2:
LCM(1, 367) = 367
GCD(1, 367) = ( 1 x 367 ) / 367
= 1 / 367
= 1
Step3:
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
= 1 / 512
= 1
So, Greatest Common Divisor of 400, 889, 367, 512 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 400, 889, 367, 512
The greatest common divisor of numbers 400, 889, 367, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 889, 367, 512 is 1.
1. What is the GCD of 400, 889, 367, 512?
GCD of given numbers 400, 889, 367, 512 is 1
2. How to calculate the greatest common divisor of 400, 889, 367, 512?
We can find the highest common divisor of 400, 889, 367, 512 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, 889, 367, 512 i.e 1.
3. How can I use the GCD of 400, 889, 367, 512Calculator?
Out the numbers 400, 889, 367, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.