GCD of 728, 468, 612, 447 Calculator

Given Input numbers are 728, 468, 612, 447

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 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

GCD of numbers is the greatest common divisor

So, the GCD (728, 468, 612, 447) = 1.

Given numbers are 728, 468, 612, 447

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 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 447 are 3 x 149

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

Given numbers are 728, 468, 612, 447

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

Apply this formula for all numbers.

Step1:

LCM(728, 468) = 6552

GCD(728, 468) = ( 728 x 468 ) / 6552

= 728 / 468

= 728

Step2:

LCM(52, 612) = 7956

GCD(52, 612) = ( 52 x 612 ) / 7956

= 52 / 612

= 52

Step3:

LCM(4, 447) = 1788

GCD(4, 447) = ( 4 x 447 ) / 1788

= 4 / 447

= 4

So, Greatest Common Divisor of 728, 468, 612, 447 is 1

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Given numbers are 728, 468, 612, 447
The greatest common divisor of numbers 728, 468, 612, 447 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 468, 612, 447 is 1.

1. What is the GCD of 728, 468, 612, 447?

GCD of given numbers 728, 468, 612, 447 is 1

2. How to calculate the greatest common divisor of 728, 468, 612, 447?

We can find the highest common divisor of 728, 468, 612, 447 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, 468, 612, 447 i.e 1.

3. How can I use the GCD of 728, 468, 612, 447Calculator?

Out the numbers 728, 468, 612, 447 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.