GCD of 728, 230, 294, 436 Calculator

Given Input numbers are 728, 230, 294, 436

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

GCD of numbers is the greatest common divisor

So, the GCD (728, 230, 294, 436) = 2.

Given numbers are 728, 230, 294, 436

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 230 are 2 x 5 x 23

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 436 are 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 728, 230, 294, 436 is 2.

Given numbers are 728, 230, 294, 436

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

Apply this formula for all numbers.

Step1:

LCM(728, 230) = 83720

GCD(728, 230) = ( 728 x 230 ) / 83720

= 728 / 230

= 728

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

So, Greatest Common Divisor of 728, 230, 294, 436 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 459, 216, 980, 634
• GCD of 356, 658, 451, 581
• GCD of 428, 777, 394, 987
• GCD of 388, 393, 515, 153
• GCD of 487, 112, 175, 758

Given numbers are 728, 230, 294, 436
The greatest common divisor of numbers 728, 230, 294, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 230, 294, 436 is 2.

1. What is the GCD of 728, 230, 294, 436?

GCD of given numbers 728, 230, 294, 436 is 2

2. How to calculate the greatest common divisor of 728, 230, 294, 436?

We can find the highest common divisor of 728, 230, 294, 436 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 728, 230, 294, 436 i.e 2.

3. How can I use the GCD of 728, 230, 294, 436Calculator?

Out the numbers 728, 230, 294, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.