GCD of 180, 612, 755, 512 Calculator

Given Input numbers are 180, 612, 755, 512

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

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755

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 (180, 612, 755, 512) = 1.

Given numbers are 180, 612, 755, 512

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 755 are 5 x 151

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 180, 612, 755, 512

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

Apply this formula for all numbers.

Step1:

LCM(180, 612) = 3060

GCD(180, 612) = ( 180 x 612 ) / 3060

= 180 / 612

= 180

Step2:

LCM(36, 755) = 27180

GCD(36, 755) = ( 36 x 755 ) / 27180

= 36 / 755

= 36

Step3:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

So, Greatest Common Divisor of 180, 612, 755, 512 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 492, 591, 510
• GCD of 744, 312, 208, 200
• GCD of 598, 110, 618, 304
• GCD of 538, 353, 957, 547
• GCD of 198, 598, 799, 569

Given numbers are 180, 612, 755, 512
The greatest common divisor of numbers 180, 612, 755, 512 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 612, 755, 512 is 1.

1. What is the GCD of 180, 612, 755, 512?

GCD of given numbers 180, 612, 755, 512 is 1

2. How to calculate the greatest common divisor of 180, 612, 755, 512?

We can find the highest common divisor of 180, 612, 755, 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 180, 612, 755, 512 i.e 1.

3. How can I use the GCD of 180, 612, 755, 512Calculator?

Out the numbers 180, 612, 755, 512 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.