GCD of 966, 288, 258, 820 Calculator

Given Input numbers are 966, 288, 258, 820

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 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 258 :

The positive integer divisors of 258 that completely divides 258 are.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (966, 288, 258, 820) = 2.

Given numbers are 966, 288, 258, 820

The list of prime factors of all numbers are

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 258 are 2 x 3 x 43

Prime factors of 820 are 2 x 2 x 5 x 41

The highest common occurrence is 2¹

Therefore, GCD of 966, 288, 258, 820 is 2.

Given numbers are 966, 288, 258, 820

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

Apply this formula for all numbers.

Step1:

LCM(966, 288) = 46368

GCD(966, 288) = ( 966 x 288 ) / 46368

= 966 / 288

= 966

Step2:

LCM(6, 258) = 258

GCD(6, 258) = ( 6 x 258 ) / 258

= 6 / 258

= 6

Step3:

LCM(6, 820) = 2460

GCD(6, 820) = ( 6 x 820 ) / 2460

= 6 / 820

= 6

So, Greatest Common Divisor of 966, 288, 258, 820 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 582, 881, 967, 572
• GCD of 697, 556, 890, 135
• GCD of 558, 533, 322, 848
• GCD of 451, 661, 442, 332
• GCD of 733, 442, 412, 583

Given numbers are 966, 288, 258, 820
The greatest common divisor of numbers 966, 288, 258, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 288, 258, 820 is 2.

1. What is the GCD of 966, 288, 258, 820?

GCD of given numbers 966, 288, 258, 820 is 2

2. How to calculate the greatest common divisor of 966, 288, 258, 820?

We can find the highest common divisor of 966, 288, 258, 820 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, 288, 258, 820 i.e 2.

3. How can I use the GCD of 966, 288, 258, 820Calculator?

Out the numbers 966, 288, 258, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.