GCD of 522, 561, 129, 441 Calculator

Given Input numbers are 522, 561, 129, 441

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 129 :

The positive integer divisors of 129 that completely divides 129 are.

1, 3, 43, 129

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (522, 561, 129, 441) = 3.

Given numbers are 522, 561, 129, 441

The list of prime factors of all numbers are

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

Prime factors of 561 are 3 x 11 x 17

Prime factors of 129 are 3 x 43

Prime factors of 441 are 3 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 522, 561, 129, 441 is 3.

Given numbers are 522, 561, 129, 441

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

Apply this formula for all numbers.

Step1:

LCM(522, 561) = 97614

GCD(522, 561) = ( 522 x 561 ) / 97614

= 522 / 561

= 522

Step2:

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

= 3 / 129

= 3

Step3:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

So, Greatest Common Divisor of 522, 561, 129, 441 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 456, 371, 343, 188
• GCD of 619, 850, 130, 212
• GCD of 192, 727, 531, 633
• GCD of 249, 442, 344, 859
• GCD of 153, 888, 624, 917

Given numbers are 522, 561, 129, 441
The greatest common divisor of numbers 522, 561, 129, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 561, 129, 441 is 3.

1. What is the GCD of 522, 561, 129, 441?

GCD of given numbers 522, 561, 129, 441 is 3

2. How to calculate the greatest common divisor of 522, 561, 129, 441?

We can find the highest common divisor of 522, 561, 129, 441 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, 561, 129, 441 i.e 3.

3. How can I use the GCD of 522, 561, 129, 441Calculator?

Out the numbers 522, 561, 129, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.