GCD of 648, 180, 20, 723 Calculator

Given Input numbers are 648, 180, 20, 723

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

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 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (648, 180, 20, 723) = 1.

Given numbers are 648, 180, 20, 723

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Prime factors of 20 are 2 x 2 x 5

Prime factors of 723 are 3 x 241

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

Given numbers are 648, 180, 20, 723

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

Apply this formula for all numbers.

Step1:

LCM(648, 180) = 3240

GCD(648, 180) = ( 648 x 180 ) / 3240

= 648 / 180

= 648

Step2:

LCM(36, 20) = 180

GCD(36, 20) = ( 36 x 20 ) / 180

= 36 / 20

= 36

Step3:

LCM(4, 723) = 2892

GCD(4, 723) = ( 4 x 723 ) / 2892

= 4 / 723

= 4

So, Greatest Common Divisor of 648, 180, 20, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 911, 72, 929
• GCD of 210, 458, 50, 748
• GCD of 530, 791, 89, 200
• GCD of 470, 302, 80, 191
• GCD of 395, 162, 70, 203

Given numbers are 648, 180, 20, 723
The greatest common divisor of numbers 648, 180, 20, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 180, 20, 723 is 1.

1. What is the GCD of 648, 180, 20, 723?

GCD of given numbers 648, 180, 20, 723 is 1

2. How to calculate the greatest common divisor of 648, 180, 20, 723?

We can find the highest common divisor of 648, 180, 20, 723 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 648, 180, 20, 723 i.e 1.

3. How can I use the GCD of 648, 180, 20, 723Calculator?

Out the numbers 648, 180, 20, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.