GCD of 108, 225, 198, 822 Calculator

Given Input numbers are 108, 225, 198, 822

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 (108, 225, 198, 822) = 3.

Given numbers are 108, 225, 198, 822

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 108, 225, 198, 822 is 3.

Given numbers are 108, 225, 198, 822

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

Apply this formula for all numbers.

Step1:

LCM(108, 225) = 2700

GCD(108, 225) = ( 108 x 225 ) / 2700

= 108 / 225

= 108

Step2:

LCM(9, 198) = 198

GCD(9, 198) = ( 9 x 198 ) / 198

= 9 / 198

= 9

Step3:

LCM(9, 822) = 2466

GCD(9, 822) = ( 9 x 822 ) / 2466

= 9 / 822

= 9

So, Greatest Common Divisor of 108, 225, 198, 822 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 729, 962, 457, 782
• GCD of 741, 174, 605, 693
• GCD of 659, 727, 743, 453
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Given numbers are 108, 225, 198, 822
The greatest common divisor of numbers 108, 225, 198, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 225, 198, 822 is 3.

1. What is the GCD of 108, 225, 198, 822?

GCD of given numbers 108, 225, 198, 822 is 3

2. How to calculate the greatest common divisor of 108, 225, 198, 822?

We can find the highest common divisor of 108, 225, 198, 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 108, 225, 198, 822 i.e 3.

3. How can I use the GCD of 108, 225, 198, 822Calculator?

Out the numbers 108, 225, 198, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.