GCD of 522, 342, 24 Calculator

Given Input numbers are 522, 342, 24

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 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

GCD of numbers is the greatest common divisor

So, the GCD (522, 342, 24) = 6.

Given numbers are 522, 342, 24

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 24 are 2 x 2 x 2 x 3

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 522, 342, 24 is 6.

Given numbers are 522, 342, 24

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

Apply this formula for all numbers.

Step1:

LCM(522, 342) = 9918

GCD(522, 342) = ( 522 x 342 ) / 9918

= 522 / 342

= 522

Step2:

LCM(18, 24) = 72

GCD(18, 24) = ( 18 x 24 ) / 72

= 18 / 24

= 18

So, Greatest Common Divisor of 522, 342, 24 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 159, 103, 70
• GCD of 430, 765, 82
• GCD of 585, 537, 59
• GCD of 458, 564, 45
• GCD of 300, 920, 71

Given numbers are 522, 342, 24
The greatest common divisor of numbers 522, 342, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 342, 24 is 6.

1. What is the GCD of 522, 342, 24?

GCD of given numbers 522, 342, 24 is 6

2. How to calculate the greatest common divisor of 522, 342, 24?

We can find the highest common divisor of 522, 342, 24 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, 342, 24 i.e 6.

3. How can I use the GCD of 522, 342, 24Calculator?

Out the numbers 522, 342, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.