GCD of 179, 294, 20, 302 Calculator

Given Input numbers are 179, 294, 20, 302

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

Divisors of 179

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

1, 179

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 179, 294, 20, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 294, 20, 302 is 1.

Therefore, GCD of numbers 179, 294, 20, 302 is 1

Given Input Data is 179, 294, 20, 302

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

Prime Factorization of 179 is 179

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 302 is 2 x 151

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(179, 294) = 52626

GCD(179, 294) = ( 179 x 294 ) / 52626

GCD(179, 294) = 52626 / 52626

GCD(179, 294) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 179, 294, 20, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 360, 93, 496
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• GCD of 941, 277, 26, 151
• GCD of 881, 461, 86, 910

1. What is the GCD of 179, 294, 20, 302?

GCD of 179, 294, 20, 302 is 1

2. Where do I get the detailed procedure to find GCD of 179, 294, 20, 302?

You can find a detailed procedure to find GCD of 179, 294, 20, 302 on our page.

3. How to find GCD of 179, 294, 20, 302 on a calculator?

You can find the GCD of 179, 294, 20, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.