GCD of 903, 264, 972, 489 Calculator

Given Input numbers are 903, 264, 972, 489

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

Divisors of 903 :

The positive integer divisors of 903 that completely divides 903 are.

1, 3, 7, 21, 43, 129, 301, 903

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 489 :

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

1, 3, 163, 489

GCD of numbers is the greatest common divisor

So, the GCD (903, 264, 972, 489) = 3.

Given numbers are 903, 264, 972, 489

The list of prime factors of all numbers are

Prime factors of 903 are 3 x 7 x 43

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 903, 264, 972, 489 is 3.

Given numbers are 903, 264, 972, 489

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

Apply this formula for all numbers.

Step1:

LCM(903, 264) = 79464

GCD(903, 264) = ( 903 x 264 ) / 79464

= 903 / 264

= 903

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 489) = 489

GCD(3, 489) = ( 3 x 489 ) / 489

= 3 / 489

= 3

So, Greatest Common Divisor of 903, 264, 972, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 173, 243, 309
• GCD of 656, 128, 466, 927
• GCD of 142, 282, 904, 280
• GCD of 354, 882, 154, 652
• GCD of 820, 745, 266, 743

Given numbers are 903, 264, 972, 489
The greatest common divisor of numbers 903, 264, 972, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 903, 264, 972, 489 is 3.

1. What is the GCD of 903, 264, 972, 489?

GCD of given numbers 903, 264, 972, 489 is 3

2. How to calculate the greatest common divisor of 903, 264, 972, 489?

We can find the highest common divisor of 903, 264, 972, 489 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 903, 264, 972, 489 i.e 3.

3. How can I use the GCD of 903, 264, 972, 489Calculator?

Out the numbers 903, 264, 972, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.