GCD of 342, 506, 953, 470 Calculator

Given Input numbers are 342, 506, 953, 470

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 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 342, 506, 953, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 506, 953, 470 is 1.

Therefore, GCD of numbers 342, 506, 953, 470 is 1

Given Input Data is 342, 506, 953, 470

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 506 is 2 x 11 x 23

Prime Factorization of 953 is 953

Prime Factorization of 470 is 2 x 5 x 47

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, 506) = 86526

GCD(342, 506) = ( 342 x 506 ) / 86526

GCD(342, 506) = 173052 / 86526

GCD(342, 506) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 953

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

LCM(2, 953) = 1906

GCD(2, 953) = ( 2 x 953 ) / 1906

GCD(2, 953) = 1906 / 1906

GCD(2, 953) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 342, 506, 953, 470 is 1

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• GCD of 347, 222, 309, 813
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1. What is the GCD of 342, 506, 953, 470?

GCD of 342, 506, 953, 470 is 1

2. Where do I get the detailed procedure to find GCD of 342, 506, 953, 470?

You can find a detailed procedure to find GCD of 342, 506, 953, 470 on our page.

3. How to find GCD of 342, 506, 953, 470 on a calculator?

You can find the GCD of 342, 506, 953, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.