GCD of 512, 564, 344, 426 Calculator

Given Input numbers are 512, 564, 344, 426

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (512, 564, 344, 426) = 2.

Given numbers are 512, 564, 344, 426

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 564 are 2 x 2 x 3 x 47

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 512, 564, 344, 426 is 2.

Given numbers are 512, 564, 344, 426

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

Apply this formula for all numbers.

Step1:

LCM(512, 564) = 72192

GCD(512, 564) = ( 512 x 564 ) / 72192

= 512 / 564

= 512

Step2:

LCM(4, 344) = 344

GCD(4, 344) = ( 4 x 344 ) / 344

= 4 / 344

= 4

Step3:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

So, Greatest Common Divisor of 512, 564, 344, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 514, 321, 367, 874
• GCD of 810, 557, 266, 698
• GCD of 413, 149, 601, 645
• GCD of 534, 565, 507, 352
• GCD of 710, 217, 493, 999

Given numbers are 512, 564, 344, 426
The greatest common divisor of numbers 512, 564, 344, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 512, 564, 344, 426 is 2.

1. What is the GCD of 512, 564, 344, 426?

GCD of given numbers 512, 564, 344, 426 is 2

2. How to calculate the greatest common divisor of 512, 564, 344, 426?

We can find the highest common divisor of 512, 564, 344, 426 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, 564, 344, 426 i.e 2.

3. How can I use the GCD of 512, 564, 344, 426Calculator?

Out the numbers 512, 564, 344, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.