GCD of 728, 966, 790, 226 Calculator

Given Input numbers are 728, 966, 790, 226

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

GCD of numbers is the greatest common divisor

So, the GCD (728, 966, 790, 226) = 2.

Given numbers are 728, 966, 790, 226

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 966 are 2 x 3 x 7 x 23

Prime factors of 790 are 2 x 5 x 79

Prime factors of 226 are 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 728, 966, 790, 226 is 2.

Given numbers are 728, 966, 790, 226

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

Apply this formula for all numbers.

Step1:

LCM(728, 966) = 50232

GCD(728, 966) = ( 728 x 966 ) / 50232

= 728 / 966

= 728

Step2:

LCM(14, 790) = 5530

GCD(14, 790) = ( 14 x 790 ) / 5530

= 14 / 790

= 14

Step3:

LCM(2, 226) = 226

GCD(2, 226) = ( 2 x 226 ) / 226

= 2 / 226

= 2

So, Greatest Common Divisor of 728, 966, 790, 226 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 800, 753, 704
• GCD of 398, 196, 365, 334
• GCD of 217, 308, 303, 298
• GCD of 522, 236, 495, 687
• GCD of 608, 969, 194, 172

Given numbers are 728, 966, 790, 226
The greatest common divisor of numbers 728, 966, 790, 226 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 966, 790, 226 is 2.

1. What is the GCD of 728, 966, 790, 226?

GCD of given numbers 728, 966, 790, 226 is 2

2. How to calculate the greatest common divisor of 728, 966, 790, 226?

We can find the highest common divisor of 728, 966, 790, 226 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, 966, 790, 226 i.e 2.

3. How can I use the GCD of 728, 966, 790, 226Calculator?

Out the numbers 728, 966, 790, 226 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.