GCD of 306, 489, 150, 963 Calculator

Given Input numbers are 306, 489, 150, 963

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 489 :

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

1, 3, 163, 489

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 963 :

The positive integer divisors of 963 that completely divides 963 are.

1, 3, 9, 107, 321, 963

GCD of numbers is the greatest common divisor

So, the GCD (306, 489, 150, 963) = 3.

Given numbers are 306, 489, 150, 963

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 489 are 3 x 163

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 963 are 3 x 3 x 107

The highest common occurrence is 3¹

Therefore, GCD of 306, 489, 150, 963 is 3.

Given numbers are 306, 489, 150, 963

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

Apply this formula for all numbers.

Step1:

LCM(306, 489) = 49878

GCD(306, 489) = ( 306 x 489 ) / 49878

= 306 / 489

= 306

Step2:

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

= 3 / 150

= 3

Step3:

LCM(3, 963) = 963

GCD(3, 963) = ( 3 x 963 ) / 963

= 3 / 963

= 3

So, Greatest Common Divisor of 306, 489, 150, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 873, 501, 510
• GCD of 150, 137, 274, 123
• GCD of 280, 525, 557, 234
• GCD of 563, 970, 904, 587
• GCD of 203, 720, 867, 459

Given numbers are 306, 489, 150, 963
The greatest common divisor of numbers 306, 489, 150, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 489, 150, 963 is 3.

1. What is the GCD of 306, 489, 150, 963?

GCD of given numbers 306, 489, 150, 963 is 3

2. How to calculate the greatest common divisor of 306, 489, 150, 963?

We can find the highest common divisor of 306, 489, 150, 963 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 306, 489, 150, 963 i.e 3.

3. How can I use the GCD of 306, 489, 150, 963Calculator?

Out the numbers 306, 489, 150, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.