GCD of 504, 344, 624, 506 Calculator

Given Input numbers are 504, 344, 624, 506

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 344 :

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

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (504, 344, 624, 506) = 2.

Given numbers are 504, 344, 624, 506

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 506 are 2 x 11 x 23

The highest common occurrence is 2¹

Therefore, GCD of 504, 344, 624, 506 is 2.

Given numbers are 504, 344, 624, 506

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

Apply this formula for all numbers.

Step1:

LCM(504, 344) = 21672

GCD(504, 344) = ( 504 x 344 ) / 21672

= 504 / 344

= 504

Step2:

LCM(8, 624) = 624

GCD(8, 624) = ( 8 x 624 ) / 624

= 8 / 624

= 8

Step3:

LCM(8, 506) = 2024

GCD(8, 506) = ( 8 x 506 ) / 2024

= 8 / 506

= 8

So, Greatest Common Divisor of 504, 344, 624, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 507, 302, 796
• GCD of 546, 505, 266, 199
• GCD of 353, 888, 463, 667
• GCD of 899, 266, 617, 511
• GCD of 962, 972, 304, 348

Given numbers are 504, 344, 624, 506
The greatest common divisor of numbers 504, 344, 624, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 344, 624, 506 is 2.

1. What is the GCD of 504, 344, 624, 506?

GCD of given numbers 504, 344, 624, 506 is 2

2. How to calculate the greatest common divisor of 504, 344, 624, 506?

We can find the highest common divisor of 504, 344, 624, 506 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 504, 344, 624, 506 i.e 2.

3. How can I use the GCD of 504, 344, 624, 506Calculator?

Out the numbers 504, 344, 624, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.