GCD of 58, 184, 140, 164 Calculator

Given Input numbers are 58, 184, 140, 164

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 164

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

1, 2, 4, 41, 82, 164

Greatest Common Divisior

We found the divisors of 58, 184, 140, 164 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 184, 140, 164 is 2.

Therefore, GCD of numbers 58, 184, 140, 164 is 2

Given Input Data is 58, 184, 140, 164

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 184 is 2 x 2 x 2 x 23

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 164 is 2 x 2 x 41

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(58, 184) = 5336

GCD(58, 184) = ( 58 x 184 ) / 5336

GCD(58, 184) = 10672 / 5336

GCD(58, 184) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 140

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

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

GCD(2, 140) = 280 / 140

GCD(2, 140) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 164

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

LCM(2, 164) = 164

GCD(2, 164) = ( 2 x 164 ) / 164

GCD(2, 164) = 328 / 164

GCD(2, 164) = 2

GCD of 58, 184, 140, 164 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 745, 533, 200
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• GCD of 43, 381, 717, 699

1. What is the GCD of 58, 184, 140, 164?

GCD of 58, 184, 140, 164 is 2

2. Where do I get the detailed procedure to find GCD of 58, 184, 140, 164?

You can find a detailed procedure to find GCD of 58, 184, 140, 164 on our page.

3. How to find GCD of 58, 184, 140, 164 on a calculator?

You can find the GCD of 58, 184, 140, 164 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.