GCD of 800, 222, 812, 358 Calculator

Given Input numbers are 800, 222, 812, 358

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 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

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 (800, 222, 812, 358) = 2.

Given numbers are 800, 222, 812, 358

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 222 are 2 x 3 x 37

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 800, 222, 812, 358 is 2.

Given numbers are 800, 222, 812, 358

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

Apply this formula for all numbers.

Step1:

LCM(800, 222) = 88800

GCD(800, 222) = ( 800 x 222 ) / 88800

= 800 / 222

= 800

Step2:

LCM(2, 812) = 812

GCD(2, 812) = ( 2 x 812 ) / 812

= 2 / 812

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 800, 222, 812, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 444, 102, 714
• GCD of 927, 710, 745, 289
• GCD of 283, 509, 640, 966
• GCD of 130, 948, 810, 881
• GCD of 372, 960, 534, 389

Given numbers are 800, 222, 812, 358
The greatest common divisor of numbers 800, 222, 812, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 222, 812, 358 is 2.

1. What is the GCD of 800, 222, 812, 358?

GCD of given numbers 800, 222, 812, 358 is 2

2. How to calculate the greatest common divisor of 800, 222, 812, 358?

We can find the highest common divisor of 800, 222, 812, 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 800, 222, 812, 358 i.e 2.

3. How can I use the GCD of 800, 222, 812, 358Calculator?

Out the numbers 800, 222, 812, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.