GCD of 912, 681, 309, 468 Calculator

Given Input numbers are 912, 681, 309, 468

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 681 :

The positive integer divisors of 681 that completely divides 681 are.

1, 3, 227, 681

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

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

GCD of numbers is the greatest common divisor

So, the GCD (912, 681, 309, 468) = 3.

Given numbers are 912, 681, 309, 468

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 681 are 3 x 227

Prime factors of 309 are 3 x 103

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

The highest common occurrence is 3¹

Therefore, GCD of 912, 681, 309, 468 is 3.

Given numbers are 912, 681, 309, 468

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

Apply this formula for all numbers.

Step1:

LCM(912, 681) = 207024

GCD(912, 681) = ( 912 x 681 ) / 207024

= 912 / 681

= 912

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

Step3:

LCM(3, 468) = 468

GCD(3, 468) = ( 3 x 468 ) / 468

= 3 / 468

= 3

So, Greatest Common Divisor of 912, 681, 309, 468 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 887, 501, 259
• GCD of 233, 814, 658, 464
• GCD of 855, 752, 437, 267
• GCD of 622, 260, 387, 625
• GCD of 631, 416, 566, 117

Given numbers are 912, 681, 309, 468
The greatest common divisor of numbers 912, 681, 309, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 681, 309, 468 is 3.

1. What is the GCD of 912, 681, 309, 468?

GCD of given numbers 912, 681, 309, 468 is 3

2. How to calculate the greatest common divisor of 912, 681, 309, 468?

We can find the highest common divisor of 912, 681, 309, 468 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 912, 681, 309, 468 i.e 3.

3. How can I use the GCD of 912, 681, 309, 468Calculator?

Out the numbers 912, 681, 309, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.