GCD of 530, 256, 432, 688 Calculator

Given Input numbers are 530, 256, 432, 688

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

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

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (530, 256, 432, 688) = 2.

Given numbers are 530, 256, 432, 688

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 530, 256, 432, 688 is 2.

Given numbers are 530, 256, 432, 688

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

Apply this formula for all numbers.

Step1:

LCM(530, 256) = 67840

GCD(530, 256) = ( 530 x 256 ) / 67840

= 530 / 256

= 530

Step2:

LCM(2, 432) = 432

GCD(2, 432) = ( 2 x 432 ) / 432

= 2 / 432

= 2

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 530, 256, 432, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 880, 215, 622
• GCD of 958, 497, 361, 250
• GCD of 794, 931, 208, 415
• GCD of 643, 114, 951, 343
• GCD of 217, 480, 738, 313

Given numbers are 530, 256, 432, 688
The greatest common divisor of numbers 530, 256, 432, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 256, 432, 688 is 2.

1. What is the GCD of 530, 256, 432, 688?

GCD of given numbers 530, 256, 432, 688 is 2

2. How to calculate the greatest common divisor of 530, 256, 432, 688?

We can find the highest common divisor of 530, 256, 432, 688 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 530, 256, 432, 688 i.e 2.

3. How can I use the GCD of 530, 256, 432, 688Calculator?

Out the numbers 530, 256, 432, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.