GCD of 729, 720, 724, 558 Calculator

Given Input numbers are 729, 720, 724, 558

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

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 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 558 :

The positive integer divisors of 558 that completely divides 558 are.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

GCD of numbers is the greatest common divisor

So, the GCD (729, 720, 724, 558) = 1.

Given numbers are 729, 720, 724, 558

The list of prime factors of all numbers are

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 724 are 2 x 2 x 181

Prime factors of 558 are 2 x 3 x 3 x 31

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

Given numbers are 729, 720, 724, 558

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

Apply this formula for all numbers.

Step1:

LCM(729, 720) = 58320

GCD(729, 720) = ( 729 x 720 ) / 58320

= 729 / 720

= 729

Step2:

LCM(9, 724) = 6516

GCD(9, 724) = ( 9 x 724 ) / 6516

= 9 / 724

= 9

Step3:

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

= 1 / 558

= 1

So, Greatest Common Divisor of 729, 720, 724, 558 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 792, 420, 587, 553
• GCD of 410, 347, 335, 864
• GCD of 369, 867, 418, 163
• GCD of 328, 270, 564, 742
• GCD of 783, 757, 843, 572

Given numbers are 729, 720, 724, 558
The greatest common divisor of numbers 729, 720, 724, 558 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 720, 724, 558 is 1.

1. What is the GCD of 729, 720, 724, 558?

GCD of given numbers 729, 720, 724, 558 is 1

2. How to calculate the greatest common divisor of 729, 720, 724, 558?

We can find the highest common divisor of 729, 720, 724, 558 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 729, 720, 724, 558 i.e 1.

3. How can I use the GCD of 729, 720, 724, 558Calculator?

Out the numbers 729, 720, 724, 558 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.