GCD of 728, 230, 802, 426 Calculator

Given Input numbers are 728, 230, 802, 426

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

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 (728, 230, 802, 426) = 2.

Given numbers are 728, 230, 802, 426

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 802 are 2 x 401

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 728, 230, 802, 426 is 2.

Given numbers are 728, 230, 802, 426

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, 802) = 802

GCD(2, 802) = ( 2 x 802 ) / 802

= 2 / 802

= 2

Step3:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2

So, Greatest Common Divisor of 728, 230, 802, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 497, 723, 671
• GCD of 343, 961, 771, 953
• GCD of 211, 696, 589, 640
• GCD of 597, 609, 280, 326
• GCD of 491, 640, 580, 154

Given numbers are 728, 230, 802, 426
The greatest common divisor of numbers 728, 230, 802, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 230, 802, 426 is 2.

1. What is the GCD of 728, 230, 802, 426?

GCD of given numbers 728, 230, 802, 426 is 2

2. How to calculate the greatest common divisor of 728, 230, 802, 426?

We can find the highest common divisor of 728, 230, 802, 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 728, 230, 802, 426 i.e 2.

3. How can I use the GCD of 728, 230, 802, 426Calculator?

Out the numbers 728, 230, 802, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.