GCD of 612, 738, 300, 489 Calculator

Given Input numbers are 612, 738, 300, 489

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

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 (612, 738, 300, 489) = 3.

Given numbers are 612, 738, 300, 489

The list of prime factors of all numbers are

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 489 are 3 x 163

The highest common occurrence is 3¹

Therefore, GCD of 612, 738, 300, 489 is 3.

Given numbers are 612, 738, 300, 489

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

Apply this formula for all numbers.

Step1:

LCM(612, 738) = 25092

GCD(612, 738) = ( 612 x 738 ) / 25092

= 612 / 738

= 612

Step2:

LCM(18, 300) = 900

GCD(18, 300) = ( 18 x 300 ) / 900

= 18 / 300

= 18

Step3:

LCM(6, 489) = 978

GCD(6, 489) = ( 6 x 489 ) / 978

= 6 / 489

= 6

So, Greatest Common Divisor of 612, 738, 300, 489 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 383, 423, 438
• GCD of 712, 512, 878, 775
• GCD of 119, 369, 704, 280
• GCD of 773, 370, 805, 139
• GCD of 273, 358, 216, 261

Given numbers are 612, 738, 300, 489
The greatest common divisor of numbers 612, 738, 300, 489 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 738, 300, 489 is 3.

1. What is the GCD of 612, 738, 300, 489?

GCD of given numbers 612, 738, 300, 489 is 3

2. How to calculate the greatest common divisor of 612, 738, 300, 489?

We can find the highest common divisor of 612, 738, 300, 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 612, 738, 300, 489 i.e 3.

3. How can I use the GCD of 612, 738, 300, 489Calculator?

Out the numbers 612, 738, 300, 489 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.