GCD of 966, 459, 612, 492 Calculator

Given Input numbers are 966, 459, 612, 492

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 459 :

The positive integer divisors of 459 that completely divides 459 are.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

GCD of numbers is the greatest common divisor

So, the GCD (966, 459, 612, 492) = 3.

Given numbers are 966, 459, 612, 492

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 459 are 3 x 3 x 3 x 17

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 492 are 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 966, 459, 612, 492 is 3.

Given numbers are 966, 459, 612, 492

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

Apply this formula for all numbers.

Step1:

LCM(966, 459) = 147798

GCD(966, 459) = ( 966 x 459 ) / 147798

= 966 / 459

= 966

Step2:

LCM(3, 612) = 612

GCD(3, 612) = ( 3 x 612 ) / 612

= 3 / 612

= 3

Step3:

LCM(3, 492) = 492

GCD(3, 492) = ( 3 x 492 ) / 492

= 3 / 492

= 3

So, Greatest Common Divisor of 966, 459, 612, 492 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 689, 778, 645, 666
• GCD of 426, 750, 371, 284
• GCD of 868, 517, 563, 320
• GCD of 434, 244, 779, 727
• GCD of 528, 670, 422, 520

Given numbers are 966, 459, 612, 492
The greatest common divisor of numbers 966, 459, 612, 492 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 459, 612, 492 is 3.

1. What is the GCD of 966, 459, 612, 492?

GCD of given numbers 966, 459, 612, 492 is 3

2. How to calculate the greatest common divisor of 966, 459, 612, 492?

We can find the highest common divisor of 966, 459, 612, 492 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 966, 459, 612, 492 i.e 3.

3. How can I use the GCD of 966, 459, 612, 492Calculator?

Out the numbers 966, 459, 612, 492 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.