GCD of 310, 728, 144, 729 Calculator

Given Input numbers are 310, 728, 144, 729

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

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 729 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (310, 728, 144, 729) = 1.

Given numbers are 310, 728, 144, 729

The list of prime factors of all numbers are

Prime factors of 310 are 2 x 5 x 31

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

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

Given numbers are 310, 728, 144, 729

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

Apply this formula for all numbers.

Step1:

LCM(310, 728) = 112840

GCD(310, 728) = ( 310 x 728 ) / 112840

= 310 / 728

= 310

Step2:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

Step3:

LCM(2, 729) = 1458

GCD(2, 729) = ( 2 x 729 ) / 1458

= 2 / 729

= 2

So, Greatest Common Divisor of 310, 728, 144, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 566, 633, 828
• GCD of 700, 887, 468, 395
• GCD of 717, 374, 367, 327
• GCD of 982, 497, 565, 353
• GCD of 545, 502, 730, 913

Given numbers are 310, 728, 144, 729
The greatest common divisor of numbers 310, 728, 144, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 310, 728, 144, 729 is 1.

1. What is the GCD of 310, 728, 144, 729?

GCD of given numbers 310, 728, 144, 729 is 1

2. How to calculate the greatest common divisor of 310, 728, 144, 729?

We can find the highest common divisor of 310, 728, 144, 729 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 310, 728, 144, 729 i.e 1.

3. How can I use the GCD of 310, 728, 144, 729Calculator?

Out the numbers 310, 728, 144, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.