GCD of 135, 384, 559, 188 Calculator

Given Input numbers are 135, 384, 559, 188

In the factoring method, we have to find the divisors of all numbers

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 188 :

The positive integer divisors of 188 that completely divides 188 are.

1, 2, 4, 47, 94, 188

GCD of numbers is the greatest common divisor

So, the GCD (135, 384, 559, 188) = 1.

Given numbers are 135, 384, 559, 188

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 559 are 13 x 43

Prime factors of 188 are 2 x 2 x 47

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

Given numbers are 135, 384, 559, 188

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

Apply this formula for all numbers.

Step1:

LCM(135, 384) = 17280

GCD(135, 384) = ( 135 x 384 ) / 17280

= 135 / 384

= 135

Step2:

LCM(3, 559) = 1677

GCD(3, 559) = ( 3 x 559 ) / 1677

= 3 / 559

= 3

Step3:

LCM(1, 188) = 188

GCD(1, 188) = ( 1 x 188 ) / 188

= 1 / 188

= 1

So, Greatest Common Divisor of 135, 384, 559, 188 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 680, 188, 792
• GCD of 318, 214, 598, 562
• GCD of 149, 110, 809, 329
• GCD of 149, 411, 524, 522
• GCD of 312, 828, 801, 956

Given numbers are 135, 384, 559, 188
The greatest common divisor of numbers 135, 384, 559, 188 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 384, 559, 188 is 1.

1. What is the GCD of 135, 384, 559, 188?

GCD of given numbers 135, 384, 559, 188 is 1

2. How to calculate the greatest common divisor of 135, 384, 559, 188?

We can find the highest common divisor of 135, 384, 559, 188 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 135, 384, 559, 188 i.e 1.

3. How can I use the GCD of 135, 384, 559, 188Calculator?

Out the numbers 135, 384, 559, 188 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.