Online GCD Calculator is useful to find the GCD of 128, 400, 320 quickly. Get the easiest ways to solve the greatest common divisor of 128, 400, 320 i.e 16 in different methods as follows.
Given Input numbers are 128, 400, 320
In the factoring method, we have to find the divisors of all numbers
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
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 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
GCD of numbers is the greatest common divisor
So, the GCD (128, 400, 320) = 16.
Given numbers are 128, 400, 320
The list of prime factors of all numbers are
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 24
Therefore, GCD of 128, 400, 320 is 16.
Given numbers are 128, 400, 320
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(128, 400) = 3200
GCD(128, 400) = ( 128 x 400 ) / 3200
= 128 / 400
= 128
Step2:
LCM(16, 320) = 320
GCD(16, 320) = ( 16 x 320 ) / 320
= 16 / 320
= 16
So, Greatest Common Divisor of 128, 400, 320 is 16
Here are some samples of GCD of Numbers calculations.
Given numbers are 128, 400, 320
The greatest common divisor of numbers 128, 400, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 400, 320 is 16.
1. What is the GCD of 128, 400, 320?
GCD of given numbers 128, 400, 320 is 16
2. How to calculate the greatest common divisor of 128, 400, 320?
We can find the highest common divisor of 128, 400, 320 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 128, 400, 320 i.e 16.
3. How can I use the GCD of 128, 400, 320Calculator?
Out the numbers 128, 400, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.