GCD of 432, 592, 828, 730 Calculator

Given Input numbers are 432, 592, 828, 730

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

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 592 :

The positive integer divisors of 592 that completely divides 592 are.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

GCD of numbers is the greatest common divisor

So, the GCD (432, 592, 828, 730) = 2.

Given numbers are 432, 592, 828, 730

The list of prime factors of all numbers are

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

Prime factors of 592 are 2 x 2 x 2 x 2 x 37

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 432, 592, 828, 730 is 2.

Given numbers are 432, 592, 828, 730

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

Apply this formula for all numbers.

Step1:

LCM(432, 592) = 15984

GCD(432, 592) = ( 432 x 592 ) / 15984

= 432 / 592

= 432

Step2:

LCM(16, 828) = 3312

GCD(16, 828) = ( 16 x 828 ) / 3312

= 16 / 828

= 16

Step3:

LCM(4, 730) = 1460

GCD(4, 730) = ( 4 x 730 ) / 1460

= 4 / 730

= 4

So, Greatest Common Divisor of 432, 592, 828, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 530, 196, 286
• GCD of 930, 427, 384, 257
• GCD of 829, 314, 782, 163
• GCD of 267, 207, 213, 820
• GCD of 322, 408, 724, 742

Given numbers are 432, 592, 828, 730
The greatest common divisor of numbers 432, 592, 828, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 592, 828, 730 is 2.

1. What is the GCD of 432, 592, 828, 730?

GCD of given numbers 432, 592, 828, 730 is 2

2. How to calculate the greatest common divisor of 432, 592, 828, 730?

We can find the highest common divisor of 432, 592, 828, 730 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 432, 592, 828, 730 i.e 2.

3. How can I use the GCD of 432, 592, 828, 730Calculator?

Out the numbers 432, 592, 828, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.