GCD of 18, 972, 544, 179 Calculator

Given Input numbers are 18, 972, 544, 179

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Greatest Common Divisior

We found the divisors of 18, 972, 544, 179 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 972, 544, 179 is 1.

Therefore, GCD of numbers 18, 972, 544, 179 is 1

Given Input Data is 18, 972, 544, 179

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

Prime Factorization of 179 is 179

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(18, 972) = 972

GCD(18, 972) = ( 18 x 972 ) / 972

GCD(18, 972) = 17496 / 972

GCD(18, 972) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 544

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

LCM(18, 544) = 4896

GCD(18, 544) = ( 18 x 544 ) / 4896

GCD(18, 544) = 9792 / 4896

GCD(18, 544) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 179

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

LCM(2, 179) = 358

GCD(2, 179) = ( 2 x 179 ) / 358

GCD(2, 179) = 358 / 358

GCD(2, 179) = 1

GCD of 18, 972, 544, 179 is 1

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1. What is the GCD of 18, 972, 544, 179?

GCD of 18, 972, 544, 179 is 1

2. Where do I get the detailed procedure to find GCD of 18, 972, 544, 179?

You can find a detailed procedure to find GCD of 18, 972, 544, 179 on our page.

3. How to find GCD of 18, 972, 544, 179 on a calculator?

You can find the GCD of 18, 972, 544, 179 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.