GCD of 344, 522, 564 Calculator

Given Input numbers are 344, 522, 564

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (344, 522, 564) = 2.

Given numbers are 344, 522, 564

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

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

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 344, 522, 564 is 2.

Given numbers are 344, 522, 564

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

Apply this formula for all numbers.

Step1:

LCM(344, 522) = 89784

GCD(344, 522) = ( 344 x 522 ) / 89784

= 344 / 522

= 344

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 344, 522, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 690, 785
• GCD of 455, 349, 752
• GCD of 197, 258, 437
• GCD of 193, 609, 225
• GCD of 684, 705, 989

Given numbers are 344, 522, 564
The greatest common divisor of numbers 344, 522, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 522, 564 is 2.

1. What is the GCD of 344, 522, 564?

GCD of given numbers 344, 522, 564 is 2

2. How to calculate the greatest common divisor of 344, 522, 564?

We can find the highest common divisor of 344, 522, 564 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 344, 522, 564 i.e 2.

3. How can I use the GCD of 344, 522, 564Calculator?

Out the numbers 344, 522, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.