GCD of 912, 645, 294, 363 Calculator

Given Input numbers are 912, 645, 294, 363

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (912, 645, 294, 363) = 3.

Given numbers are 912, 645, 294, 363

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 645 are 3 x 5 x 43

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 363 are 3 x 11 x 11

The highest common occurrence is 3¹

Therefore, GCD of 912, 645, 294, 363 is 3.

Given numbers are 912, 645, 294, 363

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

Apply this formula for all numbers.

Step1:

LCM(912, 645) = 196080

GCD(912, 645) = ( 912 x 645 ) / 196080

= 912 / 645

= 912

Step2:

LCM(3, 294) = 294

GCD(3, 294) = ( 3 x 294 ) / 294

= 3 / 294

= 3

Step3:

LCM(3, 363) = 363

GCD(3, 363) = ( 3 x 363 ) / 363

= 3 / 363

= 3

So, Greatest Common Divisor of 912, 645, 294, 363 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 448, 232, 109, 365
• GCD of 227, 986, 386, 913
• GCD of 169, 959, 618, 837
• GCD of 313, 652, 916, 425
• GCD of 855, 155, 690, 977

Given numbers are 912, 645, 294, 363
The greatest common divisor of numbers 912, 645, 294, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 645, 294, 363 is 3.

1. What is the GCD of 912, 645, 294, 363?

GCD of given numbers 912, 645, 294, 363 is 3

2. How to calculate the greatest common divisor of 912, 645, 294, 363?

We can find the highest common divisor of 912, 645, 294, 363 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, 645, 294, 363 i.e 3.

3. How can I use the GCD of 912, 645, 294, 363Calculator?

Out the numbers 912, 645, 294, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.