GCD of 822, 729, 288, 882 Calculator

Given Input numbers are 822, 729, 288, 882

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

Divisors of 822 :

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

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

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (822, 729, 288, 882) = 3.

Given numbers are 822, 729, 288, 882

The list of prime factors of all numbers are

Prime factors of 822 are 2 x 3 x 137

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 822, 729, 288, 882 is 3.

Given numbers are 822, 729, 288, 882

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

Apply this formula for all numbers.

Step1:

LCM(822, 729) = 199746

GCD(822, 729) = ( 822 x 729 ) / 199746

= 822 / 729

= 822

Step2:

LCM(3, 288) = 288

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

= 3 / 288

= 3

Step3:

LCM(3, 882) = 882

GCD(3, 882) = ( 3 x 882 ) / 882

= 3 / 882

= 3

So, Greatest Common Divisor of 822, 729, 288, 882 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 551, 421, 378
• GCD of 507, 512, 548, 275
• GCD of 410, 284, 537, 198
• GCD of 903, 239, 347, 761
• GCD of 495, 318, 943, 484

Given numbers are 822, 729, 288, 882
The greatest common divisor of numbers 822, 729, 288, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 822, 729, 288, 882 is 3.

1. What is the GCD of 822, 729, 288, 882?

GCD of given numbers 822, 729, 288, 882 is 3

2. How to calculate the greatest common divisor of 822, 729, 288, 882?

We can find the highest common divisor of 822, 729, 288, 882 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 822, 729, 288, 882 i.e 3.

3. How can I use the GCD of 822, 729, 288, 882Calculator?

Out the numbers 822, 729, 288, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.