GCD of 288, 316, 150, 822 Calculator

Given Input numbers are 288, 316, 150, 822

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (288, 316, 150, 822) = 2.

Given numbers are 288, 316, 150, 822

The list of prime factors of all numbers are

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 316 are 2 x 2 x 79

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 2¹

Therefore, GCD of 288, 316, 150, 822 is 2.

Given numbers are 288, 316, 150, 822

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

Apply this formula for all numbers.

Step1:

LCM(288, 316) = 22752

GCD(288, 316) = ( 288 x 316 ) / 22752

= 288 / 316

= 288

Step2:

LCM(4, 150) = 300

GCD(4, 150) = ( 4 x 150 ) / 300

= 4 / 150

= 4

Step3:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

So, Greatest Common Divisor of 288, 316, 150, 822 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 487, 353, 137, 437
• GCD of 359, 155, 322, 994
• GCD of 335, 640, 592, 104
• GCD of 133, 746, 306, 228
• GCD of 411, 919, 723, 671

Given numbers are 288, 316, 150, 822
The greatest common divisor of numbers 288, 316, 150, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 288, 316, 150, 822 is 2.

1. What is the GCD of 288, 316, 150, 822?

GCD of given numbers 288, 316, 150, 822 is 2

2. How to calculate the greatest common divisor of 288, 316, 150, 822?

We can find the highest common divisor of 288, 316, 150, 822 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 288, 316, 150, 822 i.e 2.

3. How can I use the GCD of 288, 316, 150, 822Calculator?

Out the numbers 288, 316, 150, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.