GCD of 522, 675, 225, 822 Calculator

Given Input numbers are 522, 675, 225, 822

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

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 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 (522, 675, 225, 822) = 3.

Given numbers are 522, 675, 225, 822

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

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

Prime factors of 822 are 2 x 3 x 137

The highest common occurrence is 3¹

Therefore, GCD of 522, 675, 225, 822 is 3.

Given numbers are 522, 675, 225, 822

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

Apply this formula for all numbers.

Step1:

LCM(522, 675) = 39150

GCD(522, 675) = ( 522 x 675 ) / 39150

= 522 / 675

= 522

Step2:

LCM(9, 225) = 225

GCD(9, 225) = ( 9 x 225 ) / 225

= 9 / 225

= 9

Step3:

LCM(9, 822) = 2466

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

= 9 / 822

= 9

So, Greatest Common Divisor of 522, 675, 225, 822 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 983, 751, 310
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Given numbers are 522, 675, 225, 822
The greatest common divisor of numbers 522, 675, 225, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 675, 225, 822 is 3.

1. What is the GCD of 522, 675, 225, 822?

GCD of given numbers 522, 675, 225, 822 is 3

2. How to calculate the greatest common divisor of 522, 675, 225, 822?

We can find the highest common divisor of 522, 675, 225, 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 522, 675, 225, 822 i.e 3.

3. How can I use the GCD of 522, 675, 225, 822Calculator?

Out the numbers 522, 675, 225, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.