GCD of 506, 488, 664, 470 Calculator

Given Input numbers are 506, 488, 664, 470

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

Divisors of 506 :

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

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

GCD of numbers is the greatest common divisor

So, the GCD (506, 488, 664, 470) = 2.

Given numbers are 506, 488, 664, 470

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 470 are 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 506, 488, 664, 470 is 2.

Given numbers are 506, 488, 664, 470

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

Apply this formula for all numbers.

Step1:

LCM(506, 488) = 123464

GCD(506, 488) = ( 506 x 488 ) / 123464

= 506 / 488

= 506

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

= 2 / 470

= 2

So, Greatest Common Divisor of 506, 488, 664, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 717, 100, 884
• GCD of 942, 565, 964, 661
• GCD of 173, 733, 428, 868
• GCD of 131, 622, 468, 238
• GCD of 535, 519, 266, 437

Given numbers are 506, 488, 664, 470
The greatest common divisor of numbers 506, 488, 664, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 488, 664, 470 is 2.

1. What is the GCD of 506, 488, 664, 470?

GCD of given numbers 506, 488, 664, 470 is 2

2. How to calculate the greatest common divisor of 506, 488, 664, 470?

We can find the highest common divisor of 506, 488, 664, 470 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 506, 488, 664, 470 i.e 2.

3. How can I use the GCD of 506, 488, 664, 470Calculator?

Out the numbers 506, 488, 664, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.