GCD of 216, 288, 280, 723 Calculator

Given Input numbers are 216, 288, 280, 723

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

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 (216, 288, 280, 723) = 1.

Given numbers are 216, 288, 280, 723

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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 216, 288, 280, 723

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

Apply this formula for all numbers.

Step1:

LCM(216, 288) = 864

GCD(216, 288) = ( 216 x 288 ) / 864

= 216 / 288

= 216

Step2:

LCM(72, 280) = 2520

GCD(72, 280) = ( 72 x 280 ) / 2520

= 72 / 280

= 72

Step3:

LCM(8, 723) = 5784

GCD(8, 723) = ( 8 x 723 ) / 5784

= 8 / 723

= 8

So, Greatest Common Divisor of 216, 288, 280, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 969, 133, 360
• GCD of 811, 942, 452, 472
• GCD of 122, 366, 193, 663
• GCD of 936, 743, 803, 398
• GCD of 774, 665, 448, 591

Given numbers are 216, 288, 280, 723
The greatest common divisor of numbers 216, 288, 280, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 288, 280, 723 is 1.

1. What is the GCD of 216, 288, 280, 723?

GCD of given numbers 216, 288, 280, 723 is 1

2. How to calculate the greatest common divisor of 216, 288, 280, 723?

We can find the highest common divisor of 216, 288, 280, 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 216, 288, 280, 723 i.e 1.

3. How can I use the GCD of 216, 288, 280, 723Calculator?

Out the numbers 216, 288, 280, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.