GCD of 729, 723, 56, 484 Calculator

Given Input numbers are 729, 723, 56, 484

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 723 :

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

1, 3, 241, 723

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

GCD of numbers is the greatest common divisor

So, the GCD (729, 723, 56, 484) = 1.

Given numbers are 729, 723, 56, 484

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 723 are 3 x 241

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 484 are 2 x 2 x 11 x 11

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

Given numbers are 729, 723, 56, 484

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

Apply this formula for all numbers.

Step1:

LCM(729, 723) = 175689

GCD(729, 723) = ( 729 x 723 ) / 175689

= 729 / 723

= 729

Step2:

LCM(3, 56) = 168

GCD(3, 56) = ( 3 x 56 ) / 168

= 3 / 56

= 3

Step3:

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

= 1 / 484

= 1

So, Greatest Common Divisor of 729, 723, 56, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 877, 62, 476
• GCD of 380, 835, 71, 680
• GCD of 493, 624, 61, 312
• GCD of 602, 817, 27, 982
• GCD of 143, 891, 98, 143

Given numbers are 729, 723, 56, 484
The greatest common divisor of numbers 729, 723, 56, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 729, 723, 56, 484 is 1.

1. What is the GCD of 729, 723, 56, 484?

GCD of given numbers 729, 723, 56, 484 is 1

2. How to calculate the greatest common divisor of 729, 723, 56, 484?

We can find the highest common divisor of 729, 723, 56, 484 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, 723, 56, 484 i.e 1.

3. How can I use the GCD of 729, 723, 56, 484Calculator?

Out the numbers 729, 723, 56, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.