GCD of 178, 260, 23, 548 Calculator

Given Input numbers are 178, 260, 23, 548

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Greatest Common Divisior

We found the divisors of 178, 260, 23, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 260, 23, 548 is 1.

Therefore, GCD of numbers 178, 260, 23, 548 is 1

Given Input Data is 178, 260, 23, 548

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 23 is 23

Prime Factorization of 548 is 2 x 2 x 137

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(178, 260) = 23140

GCD(178, 260) = ( 178 x 260 ) / 23140

GCD(178, 260) = 46280 / 23140

GCD(178, 260) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 23

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

LCM(2, 23) = 46

GCD(2, 23) = ( 2 x 23 ) / 46

GCD(2, 23) = 46 / 46

GCD(2, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 548

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

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

GCD(1, 548) = 548 / 548

GCD(1, 548) = 1

GCD of 178, 260, 23, 548 is 1

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1. What is the GCD of 178, 260, 23, 548?

GCD of 178, 260, 23, 548 is 1

2. Where do I get the detailed procedure to find GCD of 178, 260, 23, 548?

You can find a detailed procedure to find GCD of 178, 260, 23, 548 on our page.

3. How to find GCD of 178, 260, 23, 548 on a calculator?

You can find the GCD of 178, 260, 23, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.