GCD of 355, 130, 342, 601 Calculator

Given Input numbers are 355, 130, 342, 601

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 130

List of positive integer divisors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

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 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 355, 130, 342, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 130, 342, 601 is 1.

Therefore, GCD of numbers 355, 130, 342, 601 is 1

Given Input Data is 355, 130, 342, 601

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 130 is 2 x 5 x 13

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

Prime Factorization of 601 is 601

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(355, 130) = 9230

GCD(355, 130) = ( 355 x 130 ) / 9230

GCD(355, 130) = 46150 / 9230

GCD(355, 130) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 342

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

LCM(5, 342) = 1710

GCD(5, 342) = ( 5 x 342 ) / 1710

GCD(5, 342) = 1710 / 1710

GCD(5, 342) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 355, 130, 342, 601 is 1

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1. What is the GCD of 355, 130, 342, 601?

GCD of 355, 130, 342, 601 is 1

2. Where do I get the detailed procedure to find GCD of 355, 130, 342, 601?

You can find a detailed procedure to find GCD of 355, 130, 342, 601 on our page.

3. How to find GCD of 355, 130, 342, 601 on a calculator?

You can find the GCD of 355, 130, 342, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.