GCD of 282, 966, 165, 612 Calculator

Given Input numbers are 282, 966, 165, 612

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

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

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 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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

GCD of numbers is the greatest common divisor

So, the GCD (282, 966, 165, 612) = 3.

Given numbers are 282, 966, 165, 612

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

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

Prime factors of 165 are 3 x 5 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 282, 966, 165, 612 is 3.

Given numbers are 282, 966, 165, 612

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

Apply this formula for all numbers.

Step1:

LCM(282, 966) = 45402

GCD(282, 966) = ( 282 x 966 ) / 45402

= 282 / 966

= 282

Step2:

LCM(6, 165) = 330

GCD(6, 165) = ( 6 x 165 ) / 330

= 6 / 165

= 6

Step3:

LCM(3, 612) = 612

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

= 3 / 612

= 3

So, Greatest Common Divisor of 282, 966, 165, 612 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 592, 169, 248
• GCD of 512, 241, 147, 854
• GCD of 781, 722, 324, 215
• GCD of 587, 624, 683, 675
• GCD of 372, 403, 243, 212

Given numbers are 282, 966, 165, 612
The greatest common divisor of numbers 282, 966, 165, 612 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 966, 165, 612 is 3.

1. What is the GCD of 282, 966, 165, 612?

GCD of given numbers 282, 966, 165, 612 is 3

2. How to calculate the greatest common divisor of 282, 966, 165, 612?

We can find the highest common divisor of 282, 966, 165, 612 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 282, 966, 165, 612 i.e 3.

3. How can I use the GCD of 282, 966, 165, 612Calculator?

Out the numbers 282, 966, 165, 612 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.