GCD of 804, 924, 18, 279 Calculator

Given Input numbers are 804, 924, 18, 279

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

GCD of numbers is the greatest common divisor

So, the GCD (804, 924, 18, 279) = 3.

Given numbers are 804, 924, 18, 279

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

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

Prime factors of 18 are 2 x 3 x 3

Prime factors of 279 are 3 x 3 x 31

The highest common occurrence is 3¹

Therefore, GCD of 804, 924, 18, 279 is 3.

Given numbers are 804, 924, 18, 279

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

Apply this formula for all numbers.

Step1:

LCM(804, 924) = 61908

GCD(804, 924) = ( 804 x 924 ) / 61908

= 804 / 924

= 804

Step2:

LCM(12, 18) = 36

GCD(12, 18) = ( 12 x 18 ) / 36

= 12 / 18

= 12

Step3:

LCM(6, 279) = 558

GCD(6, 279) = ( 6 x 279 ) / 558

= 6 / 279

= 6

So, Greatest Common Divisor of 804, 924, 18, 279 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 381, 98, 345
• GCD of 362, 520, 14, 985
• GCD of 291, 741, 54, 263
• GCD of 367, 348, 14, 934
• GCD of 789, 371, 93, 758

Given numbers are 804, 924, 18, 279
The greatest common divisor of numbers 804, 924, 18, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 924, 18, 279 is 3.

1. What is the GCD of 804, 924, 18, 279?

GCD of given numbers 804, 924, 18, 279 is 3

2. How to calculate the greatest common divisor of 804, 924, 18, 279?

We can find the highest common divisor of 804, 924, 18, 279 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 804, 924, 18, 279 i.e 3.

3. How can I use the GCD of 804, 924, 18, 279Calculator?

Out the numbers 804, 924, 18, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.