GCD of 164, 330, 296, 728 Calculator

Given Input numbers are 164, 330, 296, 728

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

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

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

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

GCD of numbers is the greatest common divisor

So, the GCD (164, 330, 296, 728) = 2.

Given numbers are 164, 330, 296, 728

The list of prime factors of all numbers are

Prime factors of 164 are 2 x 2 x 41

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 296 are 2 x 2 x 2 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 164, 330, 296, 728 is 2.

Given numbers are 164, 330, 296, 728

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

Apply this formula for all numbers.

Step1:

LCM(164, 330) = 27060

GCD(164, 330) = ( 164 x 330 ) / 27060

= 164 / 330

= 164

Step2:

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

= 2 / 296

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 164, 330, 296, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 376, 975, 725, 967
• GCD of 260, 136, 434, 810
• GCD of 121, 801, 903, 420
• GCD of 368, 999, 996, 861
• GCD of 124, 611, 252, 616

Given numbers are 164, 330, 296, 728
The greatest common divisor of numbers 164, 330, 296, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 164, 330, 296, 728 is 2.

1. What is the GCD of 164, 330, 296, 728?

GCD of given numbers 164, 330, 296, 728 is 2

2. How to calculate the greatest common divisor of 164, 330, 296, 728?

We can find the highest common divisor of 164, 330, 296, 728 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 164, 330, 296, 728 i.e 2.

3. How can I use the GCD of 164, 330, 296, 728Calculator?

Out the numbers 164, 330, 296, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.