GCD of 128, 360, 56, 159 Calculator

Given Input numbers are 128, 360, 56, 159

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (128, 360, 56, 159) = 1.

Given numbers are 128, 360, 56, 159

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 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 159 are 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 128, 360, 56, 159

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(128, 360) = 5760

GCD(128, 360) = ( 128 x 360 ) / 5760

= 128 / 360

= 128

Step2:

LCM(8, 56) = 56

GCD(8, 56) = ( 8 x 56 ) / 56

= 8 / 56

= 8

Step3:

LCM(8, 159) = 1272

GCD(8, 159) = ( 8 x 159 ) / 1272

= 8 / 159

= 8

So, Greatest Common Divisor of 128, 360, 56, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 749, 47, 746
• GCD of 344, 903, 25, 870
• GCD of 822, 840, 10, 402
• GCD of 143, 860, 70, 489
• GCD of 171, 311, 74, 225

Given numbers are 128, 360, 56, 159
The greatest common divisor of numbers 128, 360, 56, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 360, 56, 159 is 1.

1. What is the GCD of 128, 360, 56, 159?

GCD of given numbers 128, 360, 56, 159 is 1

2. How to calculate the greatest common divisor of 128, 360, 56, 159?

We can find the highest common divisor of 128, 360, 56, 159 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, 360, 56, 159 i.e 1.

3. How can I use the GCD of 128, 360, 56, 159Calculator?

Out the numbers 128, 360, 56, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.