GCD of 924, 609, 300, 963 Calculator

Given Input numbers are 924, 609, 300, 963

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

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 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 (924, 609, 300, 963) = 3.

Given numbers are 924, 609, 300, 963

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 609 are 3 x 7 x 29

Prime factors of 300 are 2 x 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 924, 609, 300, 963 is 3.

Given numbers are 924, 609, 300, 963

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

Apply this formula for all numbers.

Step1:

LCM(924, 609) = 26796

GCD(924, 609) = ( 924 x 609 ) / 26796

= 924 / 609

= 924

Step2:

LCM(21, 300) = 2100

GCD(21, 300) = ( 21 x 300 ) / 2100

= 21 / 300

= 21

Step3:

LCM(3, 963) = 963

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

= 3 / 963

= 3

So, Greatest Common Divisor of 924, 609, 300, 963 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 910, 269, 975, 732
• GCD of 155, 742, 471, 702
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• GCD of 865, 253, 391, 718

Given numbers are 924, 609, 300, 963
The greatest common divisor of numbers 924, 609, 300, 963 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 609, 300, 963 is 3.

1. What is the GCD of 924, 609, 300, 963?

GCD of given numbers 924, 609, 300, 963 is 3

2. How to calculate the greatest common divisor of 924, 609, 300, 963?

We can find the highest common divisor of 924, 609, 300, 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 924, 609, 300, 963 i.e 3.

3. How can I use the GCD of 924, 609, 300, 963Calculator?

Out the numbers 924, 609, 300, 963 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.