GCD of 330, 969, 654, 912 Calculator

Given Input numbers are 330, 969, 654, 912

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

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

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

GCD of numbers is the greatest common divisor

So, the GCD (330, 969, 654, 912) = 3.

Given numbers are 330, 969, 654, 912

The list of prime factors of all numbers are

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 969 are 3 x 17 x 19

Prime factors of 654 are 2 x 3 x 109

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

The highest common occurrence is 3¹

Therefore, GCD of 330, 969, 654, 912 is 3.

Given numbers are 330, 969, 654, 912

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

Apply this formula for all numbers.

Step1:

LCM(330, 969) = 106590

GCD(330, 969) = ( 330 x 969 ) / 106590

= 330 / 969

= 330

Step2:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

Step3:

LCM(3, 912) = 912

GCD(3, 912) = ( 3 x 912 ) / 912

= 3 / 912

= 3

So, Greatest Common Divisor of 330, 969, 654, 912 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 289, 159, 990
• GCD of 364, 821, 697, 273
• GCD of 241, 151, 154, 251
• GCD of 218, 277, 569, 263
• GCD of 749, 625, 445, 522

Given numbers are 330, 969, 654, 912
The greatest common divisor of numbers 330, 969, 654, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 330, 969, 654, 912 is 3.

1. What is the GCD of 330, 969, 654, 912?

GCD of given numbers 330, 969, 654, 912 is 3

2. How to calculate the greatest common divisor of 330, 969, 654, 912?

We can find the highest common divisor of 330, 969, 654, 912 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 330, 969, 654, 912 i.e 3.

3. How can I use the GCD of 330, 969, 654, 912Calculator?

Out the numbers 330, 969, 654, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.