GCD of 342, 403, 427, 307 Calculator

Given Input numbers are 342, 403, 427, 307

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 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 342, 403, 427, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 342, 403, 427, 307 is 1.

Therefore, GCD of numbers 342, 403, 427, 307 is 1

Given Input Data is 342, 403, 427, 307

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 403 is 13 x 31

Prime Factorization of 427 is 7 x 61

Prime Factorization of 307 is 307

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, 403) = 137826

GCD(342, 403) = ( 342 x 403 ) / 137826

GCD(342, 403) = 137826 / 137826

GCD(342, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 342, 403, 427, 307 is 1

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1. What is the GCD of 342, 403, 427, 307?

GCD of 342, 403, 427, 307 is 1

2. Where do I get the detailed procedure to find GCD of 342, 403, 427, 307?

You can find a detailed procedure to find GCD of 342, 403, 427, 307 on our page.

3. How to find GCD of 342, 403, 427, 307 on a calculator?

You can find the GCD of 342, 403, 427, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.