GCD of 446, 384, 378, 264 Calculator

Given Input numbers are 446, 384, 378, 264

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

Divisors of 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

GCD of numbers is the greatest common divisor

So, the GCD (446, 384, 378, 264) = 2.

Given numbers are 446, 384, 378, 264

The list of prime factors of all numbers are

Prime factors of 446 are 2 x 223

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 446, 384, 378, 264 is 2.

Given numbers are 446, 384, 378, 264

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

Apply this formula for all numbers.

Step1:

LCM(446, 384) = 85632

GCD(446, 384) = ( 446 x 384 ) / 85632

= 446 / 384

= 446

Step2:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

Step3:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

So, Greatest Common Divisor of 446, 384, 378, 264 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 663, 180, 356
• GCD of 337, 678, 686, 196
• GCD of 816, 757, 494, 941
• GCD of 427, 830, 479, 626
• GCD of 494, 718, 878, 515

Given numbers are 446, 384, 378, 264
The greatest common divisor of numbers 446, 384, 378, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 446, 384, 378, 264 is 2.

1. What is the GCD of 446, 384, 378, 264?

GCD of given numbers 446, 384, 378, 264 is 2

2. How to calculate the greatest common divisor of 446, 384, 378, 264?

We can find the highest common divisor of 446, 384, 378, 264 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 446, 384, 378, 264 i.e 2.

3. How can I use the GCD of 446, 384, 378, 264Calculator?

Out the numbers 446, 384, 378, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.