GCD of 808, 992, 512, 508 Calculator

Given Input numbers are 808, 992, 512, 508

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (808, 992, 512, 508) = 4.

Given numbers are 808, 992, 512, 508

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2²

Therefore, GCD of 808, 992, 512, 508 is 4.

Given numbers are 808, 992, 512, 508

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

Apply this formula for all numbers.

Step1:

LCM(808, 992) = 100192

GCD(808, 992) = ( 808 x 992 ) / 100192

= 808 / 992

= 808

Step2:

LCM(8, 512) = 512

GCD(8, 512) = ( 8 x 512 ) / 512

= 8 / 512

= 8

Step3:

LCM(8, 508) = 1016

GCD(8, 508) = ( 8 x 508 ) / 1016

= 8 / 508

= 8

So, Greatest Common Divisor of 808, 992, 512, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 477, 421, 236
• GCD of 737, 780, 897, 427
• GCD of 438, 827, 262, 835
• GCD of 810, 271, 398, 746
• GCD of 809, 120, 948, 951

Given numbers are 808, 992, 512, 508
The greatest common divisor of numbers 808, 992, 512, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 992, 512, 508 is 4.

1. What is the GCD of 808, 992, 512, 508?

GCD of given numbers 808, 992, 512, 508 is 4

2. How to calculate the greatest common divisor of 808, 992, 512, 508?

We can find the highest common divisor of 808, 992, 512, 508 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 808, 992, 512, 508 i.e 4.

3. How can I use the GCD of 808, 992, 512, 508Calculator?

Out the numbers 808, 992, 512, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.