GCD of 894, 396, 400, 396 Calculator

Given Input numbers are 894, 396, 400, 396

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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

GCD of numbers is the greatest common divisor

So, the GCD (894, 396, 400, 396) = 2.

Given numbers are 894, 396, 400, 396

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 894, 396, 400, 396 is 2.

Given numbers are 894, 396, 400, 396

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

Apply this formula for all numbers.

Step1:

LCM(894, 396) = 59004

GCD(894, 396) = ( 894 x 396 ) / 59004

= 894 / 396

= 894

Step2:

LCM(6, 400) = 1200

GCD(6, 400) = ( 6 x 400 ) / 1200

= 6 / 400

= 6

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 894, 396, 400, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 646, 704, 577
• GCD of 939, 624, 288, 476
• GCD of 943, 248, 870, 580
• GCD of 110, 335, 927, 558
• GCD of 852, 692, 818, 485

Given numbers are 894, 396, 400, 396
The greatest common divisor of numbers 894, 396, 400, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 396, 400, 396 is 2.

1. What is the GCD of 894, 396, 400, 396?

GCD of given numbers 894, 396, 400, 396 is 2

2. How to calculate the greatest common divisor of 894, 396, 400, 396?

We can find the highest common divisor of 894, 396, 400, 396 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, 396, 400, 396 i.e 2.

3. How can I use the GCD of 894, 396, 400, 396Calculator?

Out the numbers 894, 396, 400, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.