GCD of 164, 384, 95, 821 Calculator

Given Input numbers are 164, 384, 95, 821

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 384

List of positive integer divisors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 164, 384, 95, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 384, 95, 821 is 1.

Therefore, GCD of numbers 164, 384, 95, 821 is 1

Given Input Data is 164, 384, 95, 821

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 384 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 95 is 5 x 19

Prime Factorization of 821 is 821

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(164, 384) = 15744

GCD(164, 384) = ( 164 x 384 ) / 15744

GCD(164, 384) = 62976 / 15744

GCD(164, 384) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 95

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

LCM(4, 95) = 380

GCD(4, 95) = ( 4 x 95 ) / 380

GCD(4, 95) = 380 / 380

GCD(4, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

GCD of 164, 384, 95, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 980, 49, 472
• GCD of 639, 552, 94, 203
• GCD of 494, 708, 31, 355
• GCD of 217, 958, 50, 592
• GCD of 711, 705, 74, 649

1. What is the GCD of 164, 384, 95, 821?

GCD of 164, 384, 95, 821 is 1

2. Where do I get the detailed procedure to find GCD of 164, 384, 95, 821?

You can find a detailed procedure to find GCD of 164, 384, 95, 821 on our page.

3. How to find GCD of 164, 384, 95, 821 on a calculator?

You can find the GCD of 164, 384, 95, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.