GCD of 504, 248, 144, 586 Calculator

Given Input numbers are 504, 248, 144, 586

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 586 :

The positive integer divisors of 586 that completely divides 586 are.

1, 2, 293, 586

GCD of numbers is the greatest common divisor

So, the GCD (504, 248, 144, 586) = 2.

Given numbers are 504, 248, 144, 586

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 248 are 2 x 2 x 2 x 31

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 586 are 2 x 293

The highest common occurrence is 2¹

Therefore, GCD of 504, 248, 144, 586 is 2.

Given numbers are 504, 248, 144, 586

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

Apply this formula for all numbers.

Step1:

LCM(504, 248) = 15624

GCD(504, 248) = ( 504 x 248 ) / 15624

= 504 / 248

= 504

Step2:

LCM(8, 144) = 144

GCD(8, 144) = ( 8 x 144 ) / 144

= 8 / 144

= 8

Step3:

LCM(8, 586) = 2344

GCD(8, 586) = ( 8 x 586 ) / 2344

= 8 / 586

= 8

So, Greatest Common Divisor of 504, 248, 144, 586 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 135, 104, 377, 333
• GCD of 722, 799, 992, 108
• GCD of 337, 379, 572, 635
• GCD of 405, 482, 520, 966
• GCD of 409, 775, 682, 226

Given numbers are 504, 248, 144, 586
The greatest common divisor of numbers 504, 248, 144, 586 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 248, 144, 586 is 2.

1. What is the GCD of 504, 248, 144, 586?

GCD of given numbers 504, 248, 144, 586 is 2

2. How to calculate the greatest common divisor of 504, 248, 144, 586?

We can find the highest common divisor of 504, 248, 144, 586 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, 248, 144, 586 i.e 2.

3. How can I use the GCD of 504, 248, 144, 586Calculator?

Out the numbers 504, 248, 144, 586 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.