GCD of 894, 192, 696, 264 Calculator

Given Input numbers are 894, 192, 696, 264

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 192 :

The positive integer divisors of 192 that completely divides 192 are.

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

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 (894, 192, 696, 264) = 6.

Given numbers are 894, 192, 696, 264

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 894, 192, 696, 264 is 6.

Given numbers are 894, 192, 696, 264

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

Apply this formula for all numbers.

Step1:

LCM(894, 192) = 28608

GCD(894, 192) = ( 894 x 192 ) / 28608

= 894 / 192

= 894

Step2:

LCM(6, 696) = 696

GCD(6, 696) = ( 6 x 696 ) / 696

= 6 / 696

= 6

Step3:

LCM(6, 264) = 264

GCD(6, 264) = ( 6 x 264 ) / 264

= 6 / 264

= 6

So, Greatest Common Divisor of 894, 192, 696, 264 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 545, 979, 810
• GCD of 750, 546, 220, 861
• GCD of 673, 144, 468, 120
• GCD of 462, 802, 119, 864
• GCD of 461, 451, 418, 284

Given numbers are 894, 192, 696, 264
The greatest common divisor of numbers 894, 192, 696, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 192, 696, 264 is 6.

1. What is the GCD of 894, 192, 696, 264?

GCD of given numbers 894, 192, 696, 264 is 6

2. How to calculate the greatest common divisor of 894, 192, 696, 264?

We can find the highest common divisor of 894, 192, 696, 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 894, 192, 696, 264 i.e 6.

3. How can I use the GCD of 894, 192, 696, 264Calculator?

Out the numbers 894, 192, 696, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.