GCD of 164, 323, 58, 105 Calculator

Given Input numbers are 164, 323, 58, 105

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 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 164, 323, 58, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 323, 58, 105 is 1.

Therefore, GCD of numbers 164, 323, 58, 105 is 1

Given Input Data is 164, 323, 58, 105

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 323 is 17 x 19

Prime Factorization of 58 is 2 x 29

Prime Factorization of 105 is 3 x 5 x 7

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, 323) = 52972

GCD(164, 323) = ( 164 x 323 ) / 52972

GCD(164, 323) = 52972 / 52972

GCD(164, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 105

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

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

GCD(1, 105) = 105 / 105

GCD(1, 105) = 1

GCD of 164, 323, 58, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 917, 47, 914
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• GCD of 968, 372, 41, 344
• GCD of 805, 551, 85, 736

1. What is the GCD of 164, 323, 58, 105?

GCD of 164, 323, 58, 105 is 1

2. Where do I get the detailed procedure to find GCD of 164, 323, 58, 105?

You can find a detailed procedure to find GCD of 164, 323, 58, 105 on our page.

3. How to find GCD of 164, 323, 58, 105 on a calculator?

You can find the GCD of 164, 323, 58, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.