GCD of 720, 864, 192, 504 Calculator

Given Input numbers are 720, 864, 192, 504

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (720, 864, 192, 504) = 24.

Given numbers are 720, 864, 192, 504

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 2³ x 3¹

Therefore, GCD of 720, 864, 192, 504 is 24.

Given numbers are 720, 864, 192, 504

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

Apply this formula for all numbers.

Step1:

LCM(720, 864) = 4320

GCD(720, 864) = ( 720 x 864 ) / 4320

= 720 / 864

= 720

Step2:

LCM(144, 192) = 576

GCD(144, 192) = ( 144 x 192 ) / 576

= 144 / 192

= 144

Step3:

LCM(48, 504) = 1008

GCD(48, 504) = ( 48 x 504 ) / 1008

= 48 / 504

= 48

So, Greatest Common Divisor of 720, 864, 192, 504 is 24

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 455, 615, 598
• GCD of 728, 103, 465, 218
• GCD of 749, 481, 565, 379
• GCD of 189, 442, 291, 945
• GCD of 581, 565, 894, 661

Given numbers are 720, 864, 192, 504
The greatest common divisor of numbers 720, 864, 192, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 864, 192, 504 is 24.

1. What is the GCD of 720, 864, 192, 504?

GCD of given numbers 720, 864, 192, 504 is 24

2. How to calculate the greatest common divisor of 720, 864, 192, 504?

We can find the highest common divisor of 720, 864, 192, 504 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 720, 864, 192, 504 i.e 24.

3. How can I use the GCD of 720, 864, 192, 504Calculator?

Out the numbers 720, 864, 192, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.