GCD of 800, 884, 112, 412 Calculator

Given Input numbers are 800, 884, 112, 412

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (800, 884, 112, 412) = 4.

Given numbers are 800, 884, 112, 412

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2²

Therefore, GCD of 800, 884, 112, 412 is 4.

Given numbers are 800, 884, 112, 412

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

Apply this formula for all numbers.

Step1:

LCM(800, 884) = 176800

GCD(800, 884) = ( 800 x 884 ) / 176800

= 800 / 884

= 800

Step2:

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

= 4 / 112

= 4

Step3:

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

= 4 / 412

= 4

So, Greatest Common Divisor of 800, 884, 112, 412 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 220, 607, 730, 422
• GCD of 720, 405, 211, 315
• GCD of 516, 523, 702, 296
• GCD of 305, 229, 846, 493
• GCD of 294, 739, 220, 281

Given numbers are 800, 884, 112, 412
The greatest common divisor of numbers 800, 884, 112, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 884, 112, 412 is 4.

1. What is the GCD of 800, 884, 112, 412?

GCD of given numbers 800, 884, 112, 412 is 4

2. How to calculate the greatest common divisor of 800, 884, 112, 412?

We can find the highest common divisor of 800, 884, 112, 412 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 800, 884, 112, 412 i.e 4.

3. How can I use the GCD of 800, 884, 112, 412Calculator?

Out the numbers 800, 884, 112, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.