GCD of 912, 825, 795, 288 Calculator

Given Input numbers are 912, 825, 795, 288

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

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

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

GCD of numbers is the greatest common divisor

So, the GCD (912, 825, 795, 288) = 3.

Given numbers are 912, 825, 795, 288

The list of prime factors of all numbers are

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 795 are 3 x 5 x 53

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

The highest common occurrence is 3¹

Therefore, GCD of 912, 825, 795, 288 is 3.

Given numbers are 912, 825, 795, 288

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

Apply this formula for all numbers.

Step1:

LCM(912, 825) = 250800

GCD(912, 825) = ( 912 x 825 ) / 250800

= 912 / 825

= 912

Step2:

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

= 3 / 795

= 3

Step3:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

So, Greatest Common Divisor of 912, 825, 795, 288 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 674, 974, 440
• GCD of 670, 848, 918, 854
• GCD of 898, 393, 445, 613
• GCD of 247, 940, 496, 960
• GCD of 655, 233, 233, 192

Given numbers are 912, 825, 795, 288
The greatest common divisor of numbers 912, 825, 795, 288 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 825, 795, 288 is 3.

1. What is the GCD of 912, 825, 795, 288?

GCD of given numbers 912, 825, 795, 288 is 3

2. How to calculate the greatest common divisor of 912, 825, 795, 288?

We can find the highest common divisor of 912, 825, 795, 288 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 912, 825, 795, 288 i.e 3.

3. How can I use the GCD of 912, 825, 795, 288Calculator?

Out the numbers 912, 825, 795, 288 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.