GCD of 489, 287, 226, 728 Calculator

Given Input numbers are 489, 287, 226, 728

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

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

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

GCD of numbers is the greatest common divisor

So, the GCD (489, 287, 226, 728) = 1.

Given numbers are 489, 287, 226, 728

The list of prime factors of all numbers are

Prime factors of 489 are 3 x 163

Prime factors of 287 are 7 x 41

Prime factors of 226 are 2 x 113

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

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

Given numbers are 489, 287, 226, 728

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

Apply this formula for all numbers.

Step1:

LCM(489, 287) = 140343

GCD(489, 287) = ( 489 x 287 ) / 140343

= 489 / 287

= 489

Step2:

LCM(1, 226) = 226

GCD(1, 226) = ( 1 x 226 ) / 226

= 1 / 226

= 1

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 489, 287, 226, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 282, 241, 720
• GCD of 467, 263, 830, 595
• GCD of 343, 334, 383, 560
• GCD of 903, 883, 238, 157
• GCD of 858, 705, 343, 296

Given numbers are 489, 287, 226, 728
The greatest common divisor of numbers 489, 287, 226, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 489, 287, 226, 728 is 1.

1. What is the GCD of 489, 287, 226, 728?

GCD of given numbers 489, 287, 226, 728 is 1

2. How to calculate the greatest common divisor of 489, 287, 226, 728?

We can find the highest common divisor of 489, 287, 226, 728 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 489, 287, 226, 728 i.e 1.

3. How can I use the GCD of 489, 287, 226, 728Calculator?

Out the numbers 489, 287, 226, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.