GCD of 135, 180, 544, 468 Calculator

Given Input numbers are 135, 180, 544, 468

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 544 :

The positive integer divisors of 544 that completely divides 544 are.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (135, 180, 544, 468) = 1.

Given numbers are 135, 180, 544, 468

The list of prime factors of all numbers are

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Given numbers are 135, 180, 544, 468

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

Apply this formula for all numbers.

Step1:

LCM(135, 180) = 540

GCD(135, 180) = ( 135 x 180 ) / 540

= 135 / 180

= 135

Step2:

LCM(45, 544) = 24480

GCD(45, 544) = ( 45 x 544 ) / 24480

= 45 / 544

= 45

Step3:

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

= 1 / 468

= 1

So, Greatest Common Divisor of 135, 180, 544, 468 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 656, 906, 596
• GCD of 616, 760, 545, 374
• GCD of 747, 775, 210, 108
• GCD of 518, 518, 262, 481
• GCD of 506, 753, 420, 558

Given numbers are 135, 180, 544, 468
The greatest common divisor of numbers 135, 180, 544, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 180, 544, 468 is 1.

1. What is the GCD of 135, 180, 544, 468?

GCD of given numbers 135, 180, 544, 468 is 1

2. How to calculate the greatest common divisor of 135, 180, 544, 468?

We can find the highest common divisor of 135, 180, 544, 468 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, 180, 544, 468 i.e 1.

3. How can I use the GCD of 135, 180, 544, 468Calculator?

Out the numbers 135, 180, 544, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.