GCD of 728, 355, 104, 288 Calculator

Given Input numbers are 728, 355, 104, 288

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

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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

GCD of numbers is the greatest common divisor

So, the GCD (728, 355, 104, 288) = 1.

Given numbers are 728, 355, 104, 288

The list of prime factors of all numbers are

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

Prime factors of 355 are 5 x 71

Prime factors of 104 are 2 x 2 x 2 x 13

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

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

Given numbers are 728, 355, 104, 288

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

Apply this formula for all numbers.

Step1:

LCM(728, 355) = 258440

GCD(728, 355) = ( 728 x 355 ) / 258440

= 728 / 355

= 728

Step2:

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

= 1 / 104

= 1

Step3:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

So, Greatest Common Divisor of 728, 355, 104, 288 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 645, 723, 435
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Given numbers are 728, 355, 104, 288
The greatest common divisor of numbers 728, 355, 104, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 355, 104, 288 is 1.

1. What is the GCD of 728, 355, 104, 288?

GCD of given numbers 728, 355, 104, 288 is 1

2. How to calculate the greatest common divisor of 728, 355, 104, 288?

We can find the highest common divisor of 728, 355, 104, 288 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 728, 355, 104, 288 i.e 1.

3. How can I use the GCD of 728, 355, 104, 288Calculator?

Out the numbers 728, 355, 104, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.