GCD of 380, 728, 164 Calculator

Given Input numbers are 380, 728, 164

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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 164 :

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

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (380, 728, 164) = 4.

Given numbers are 380, 728, 164

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 164 are 2 x 2 x 41

The highest common occurrence is 2²

Therefore, GCD of 380, 728, 164 is 4.

Given numbers are 380, 728, 164

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

Apply this formula for all numbers.

Step1:

LCM(380, 728) = 69160

GCD(380, 728) = ( 380 x 728 ) / 69160

= 380 / 728

= 380

Step2:

LCM(4, 164) = 164

GCD(4, 164) = ( 4 x 164 ) / 164

= 4 / 164

= 4

So, Greatest Common Divisor of 380, 728, 164 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 725, 594
• GCD of 121, 395, 305
• GCD of 560, 428, 786
• GCD of 879, 333, 108
• GCD of 641, 171, 191

Given numbers are 380, 728, 164
The greatest common divisor of numbers 380, 728, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 728, 164 is 4.

1. What is the GCD of 380, 728, 164?

GCD of given numbers 380, 728, 164 is 4

2. How to calculate the greatest common divisor of 380, 728, 164?

We can find the highest common divisor of 380, 728, 164 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 380, 728, 164 i.e 4.

3. How can I use the GCD of 380, 728, 164Calculator?

Out the numbers 380, 728, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.