GCD of 728, 459, 612, 988 Calculator

Given Input numbers are 728, 459, 612, 988

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 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (728, 459, 612, 988) = 1.

Given numbers are 728, 459, 612, 988

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 459 are 3 x 3 x 3 x 17

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

Prime factors of 988 are 2 x 2 x 13 x 19

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

Given numbers are 728, 459, 612, 988

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

Apply this formula for all numbers.

Step1:

LCM(728, 459) = 334152

GCD(728, 459) = ( 728 x 459 ) / 334152

= 728 / 459

= 728

Step2:

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

= 1 / 612

= 1

Step3:

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

= 1 / 988

= 1

So, Greatest Common Divisor of 728, 459, 612, 988 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 541, 928, 866, 107
• GCD of 705, 645, 701, 602
• GCD of 302, 727, 194, 815
• GCD of 578, 983, 469, 751
• GCD of 961, 821, 617, 322

Given numbers are 728, 459, 612, 988
The greatest common divisor of numbers 728, 459, 612, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 459, 612, 988 is 1.

1. What is the GCD of 728, 459, 612, 988?

GCD of given numbers 728, 459, 612, 988 is 1

2. How to calculate the greatest common divisor of 728, 459, 612, 988?

We can find the highest common divisor of 728, 459, 612, 988 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, 459, 612, 988 i.e 1.

3. How can I use the GCD of 728, 459, 612, 988Calculator?

Out the numbers 728, 459, 612, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.