GCD of 342, 144, 47, 485 Calculator

Given Input numbers are 342, 144, 47, 485

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

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 485

List of positive integer divisors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Greatest Common Divisior

We found the divisors of 342, 144, 47, 485 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 144, 47, 485 is 1.

Therefore, GCD of numbers 342, 144, 47, 485 is 1

Given Input Data is 342, 144, 47, 485

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

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 47 is 47

Prime Factorization of 485 is 5 x 97

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(342, 144) = 2736

GCD(342, 144) = ( 342 x 144 ) / 2736

GCD(342, 144) = 49248 / 2736

GCD(342, 144) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 47

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

LCM(18, 47) = 846

GCD(18, 47) = ( 18 x 47 ) / 846

GCD(18, 47) = 846 / 846

GCD(18, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 485

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

LCM(1, 485) = 485

GCD(1, 485) = ( 1 x 485 ) / 485

GCD(1, 485) = 485 / 485

GCD(1, 485) = 1

GCD of 342, 144, 47, 485 is 1

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• GCD of 869, 705, 67, 372
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1. What is the GCD of 342, 144, 47, 485?

GCD of 342, 144, 47, 485 is 1

2. Where do I get the detailed procedure to find GCD of 342, 144, 47, 485?

You can find a detailed procedure to find GCD of 342, 144, 47, 485 on our page.

3. How to find GCD of 342, 144, 47, 485 on a calculator?

You can find the GCD of 342, 144, 47, 485 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.