GCD of 966, 364, 456, 228 Calculator

Given Input numbers are 966, 364, 456, 228

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (966, 364, 456, 228) = 2.

Given numbers are 966, 364, 456, 228

The list of prime factors of all numbers are

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

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 966, 364, 456, 228 is 2.

Given numbers are 966, 364, 456, 228

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

Apply this formula for all numbers.

Step1:

LCM(966, 364) = 25116

GCD(966, 364) = ( 966 x 364 ) / 25116

= 966 / 364

= 966

Step2:

LCM(14, 456) = 3192

GCD(14, 456) = ( 14 x 456 ) / 3192

= 14 / 456

= 14

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 966, 364, 456, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 522, 523, 454, 184
• GCD of 835, 616, 503, 869
• GCD of 309, 717, 814, 426
• GCD of 406, 356, 731, 474
• GCD of 178, 973, 172, 618

Given numbers are 966, 364, 456, 228
The greatest common divisor of numbers 966, 364, 456, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 364, 456, 228 is 2.

1. What is the GCD of 966, 364, 456, 228?

GCD of given numbers 966, 364, 456, 228 is 2

2. How to calculate the greatest common divisor of 966, 364, 456, 228?

We can find the highest common divisor of 966, 364, 456, 228 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, 364, 456, 228 i.e 2.

3. How can I use the GCD of 966, 364, 456, 228Calculator?

Out the numbers 966, 364, 456, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.