GCD of 512, 276, 656, 508 Calculator

Given Input numbers are 512, 276, 656, 508

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

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 (512, 276, 656, 508) = 4.

Given numbers are 512, 276, 656, 508

The list of prime factors of all numbers are

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 276 are 2 x 2 x 3 x 23

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2²

Therefore, GCD of 512, 276, 656, 508 is 4.

Given numbers are 512, 276, 656, 508

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

Apply this formula for all numbers.

Step1:

LCM(512, 276) = 35328

GCD(512, 276) = ( 512 x 276 ) / 35328

= 512 / 276

= 512

Step2:

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

= 4 / 656

= 4

Step3:

LCM(4, 508) = 508

GCD(4, 508) = ( 4 x 508 ) / 508

= 4 / 508

= 4

So, Greatest Common Divisor of 512, 276, 656, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 646, 554, 899
• GCD of 833, 504, 955, 181
• GCD of 202, 780, 193, 667
• GCD of 626, 950, 802, 552
• GCD of 378, 740, 355, 598

Given numbers are 512, 276, 656, 508
The greatest common divisor of numbers 512, 276, 656, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 276, 656, 508 is 4.

1. What is the GCD of 512, 276, 656, 508?

GCD of given numbers 512, 276, 656, 508 is 4

2. How to calculate the greatest common divisor of 512, 276, 656, 508?

We can find the highest common divisor of 512, 276, 656, 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 512, 276, 656, 508 i.e 4.

3. How can I use the GCD of 512, 276, 656, 508Calculator?

Out the numbers 512, 276, 656, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.