GCD of 508, 664, 566, 904 Calculator

Given Input numbers are 508, 664, 566, 904

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 664 :

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

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

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

GCD of numbers is the greatest common divisor

So, the GCD (508, 664, 566, 904) = 2.

Given numbers are 508, 664, 566, 904

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

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

Prime factors of 566 are 2 x 283

Prime factors of 904 are 2 x 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 508, 664, 566, 904 is 2.

Given numbers are 508, 664, 566, 904

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

Apply this formula for all numbers.

Step1:

LCM(508, 664) = 84328

GCD(508, 664) = ( 508 x 664 ) / 84328

= 508 / 664

= 508

Step2:

LCM(4, 566) = 1132

GCD(4, 566) = ( 4 x 566 ) / 1132

= 4 / 566

= 4

Step3:

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

= 2 / 904

= 2

So, Greatest Common Divisor of 508, 664, 566, 904 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 723, 491, 298
• GCD of 970, 365, 950, 840
• GCD of 843, 415, 665, 271
• GCD of 622, 905, 146, 805
• GCD of 347, 952, 961, 508

Given numbers are 508, 664, 566, 904
The greatest common divisor of numbers 508, 664, 566, 904 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 664, 566, 904 is 2.

1. What is the GCD of 508, 664, 566, 904?

GCD of given numbers 508, 664, 566, 904 is 2

2. How to calculate the greatest common divisor of 508, 664, 566, 904?

We can find the highest common divisor of 508, 664, 566, 904 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 508, 664, 566, 904 i.e 2.

3. How can I use the GCD of 508, 664, 566, 904Calculator?

Out the numbers 508, 664, 566, 904 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.