GCD of 852, 382, 894, 440 Calculator

Given Input numbers are 852, 382, 894, 440

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 894 :

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

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

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (852, 382, 894, 440) = 2.

Given numbers are 852, 382, 894, 440

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 382 are 2 x 191

Prime factors of 894 are 2 x 3 x 149

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 852, 382, 894, 440 is 2.

Given numbers are 852, 382, 894, 440

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

Apply this formula for all numbers.

Step1:

LCM(852, 382) = 162732

GCD(852, 382) = ( 852 x 382 ) / 162732

= 852 / 382

= 852

Step2:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

Step3:

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

= 2 / 440

= 2

So, Greatest Common Divisor of 852, 382, 894, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 878, 104, 210
• GCD of 967, 952, 227, 526
• GCD of 739, 686, 807, 530
• GCD of 720, 658, 877, 663
• GCD of 478, 184, 871, 363

Given numbers are 852, 382, 894, 440
The greatest common divisor of numbers 852, 382, 894, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 382, 894, 440 is 2.

1. What is the GCD of 852, 382, 894, 440?

GCD of given numbers 852, 382, 894, 440 is 2

2. How to calculate the greatest common divisor of 852, 382, 894, 440?

We can find the highest common divisor of 852, 382, 894, 440 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 852, 382, 894, 440 i.e 2.

3. How can I use the GCD of 852, 382, 894, 440Calculator?

Out the numbers 852, 382, 894, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.