GCD of 384, 176, 844, 358 Calculator

Given Input numbers are 384, 176, 844, 358

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

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 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (384, 176, 844, 358) = 2.

Given numbers are 384, 176, 844, 358

The list of prime factors of all numbers are

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

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 844 are 2 x 2 x 211

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 384, 176, 844, 358 is 2.

Given numbers are 384, 176, 844, 358

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

Apply this formula for all numbers.

Step1:

LCM(384, 176) = 4224

GCD(384, 176) = ( 384 x 176 ) / 4224

= 384 / 176

= 384

Step2:

LCM(16, 844) = 3376

GCD(16, 844) = ( 16 x 844 ) / 3376

= 16 / 844

= 16

Step3:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

So, Greatest Common Divisor of 384, 176, 844, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 379, 216, 300
• GCD of 826, 222, 848, 925
• GCD of 362, 753, 341, 591
• GCD of 234, 304, 143, 583
• GCD of 288, 976, 285, 386

Given numbers are 384, 176, 844, 358
The greatest common divisor of numbers 384, 176, 844, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 176, 844, 358 is 2.

1. What is the GCD of 384, 176, 844, 358?

GCD of given numbers 384, 176, 844, 358 is 2

2. How to calculate the greatest common divisor of 384, 176, 844, 358?

We can find the highest common divisor of 384, 176, 844, 358 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 384, 176, 844, 358 i.e 2.

3. How can I use the GCD of 384, 176, 844, 358Calculator?

Out the numbers 384, 176, 844, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.