GCD of 468, 669, 792, 318 Calculator

Given Input numbers are 468, 669, 792, 318

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (468, 669, 792, 318) = 3.

Given numbers are 468, 669, 792, 318

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 669 are 3 x 223

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 3¹

Therefore, GCD of 468, 669, 792, 318 is 3.

Given numbers are 468, 669, 792, 318

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

Apply this formula for all numbers.

Step1:

LCM(468, 669) = 104364

GCD(468, 669) = ( 468 x 669 ) / 104364

= 468 / 669

= 468

Step2:

LCM(3, 792) = 792

GCD(3, 792) = ( 3 x 792 ) / 792

= 3 / 792

= 3

Step3:

LCM(3, 318) = 318

GCD(3, 318) = ( 3 x 318 ) / 318

= 3 / 318

= 3

So, Greatest Common Divisor of 468, 669, 792, 318 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 145, 805, 152
• GCD of 612, 771, 373, 220
• GCD of 192, 707, 419, 740
• GCD of 720, 975, 979, 758
• GCD of 868, 301, 295, 705

Given numbers are 468, 669, 792, 318
The greatest common divisor of numbers 468, 669, 792, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 669, 792, 318 is 3.

1. What is the GCD of 468, 669, 792, 318?

GCD of given numbers 468, 669, 792, 318 is 3

2. How to calculate the greatest common divisor of 468, 669, 792, 318?

We can find the highest common divisor of 468, 669, 792, 318 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 468, 669, 792, 318 i.e 3.

3. How can I use the GCD of 468, 669, 792, 318Calculator?

Out the numbers 468, 669, 792, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.