GCD of 800, 194, 162, 216 Calculator

Given Input numbers are 800, 194, 162, 216

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 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

GCD of numbers is the greatest common divisor

So, the GCD (800, 194, 162, 216) = 2.

Given numbers are 800, 194, 162, 216

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 194 are 2 x 97

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 800, 194, 162, 216 is 2.

Given numbers are 800, 194, 162, 216

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

Apply this formula for all numbers.

Step1:

LCM(800, 194) = 77600

GCD(800, 194) = ( 800 x 194 ) / 77600

= 800 / 194

= 800

Step2:

LCM(2, 162) = 162

GCD(2, 162) = ( 2 x 162 ) / 162

= 2 / 162

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 800, 194, 162, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 554, 588, 974, 708
• GCD of 194, 129, 672, 148
• GCD of 105, 576, 297, 775
• GCD of 765, 271, 448, 146
• GCD of 687, 686, 643, 872

Given numbers are 800, 194, 162, 216
The greatest common divisor of numbers 800, 194, 162, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 194, 162, 216 is 2.

1. What is the GCD of 800, 194, 162, 216?

GCD of given numbers 800, 194, 162, 216 is 2

2. How to calculate the greatest common divisor of 800, 194, 162, 216?

We can find the highest common divisor of 800, 194, 162, 216 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, 194, 162, 216 i.e 2.

3. How can I use the GCD of 800, 194, 162, 216Calculator?

Out the numbers 800, 194, 162, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.