GCD of 207, 342, 131, 343 Calculator

Given Input numbers are 207, 342, 131, 343

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

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

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 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Greatest Common Divisior

We found the divisors of 207, 342, 131, 343 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 342, 131, 343 is 1.

Therefore, GCD of numbers 207, 342, 131, 343 is 1

Given Input Data is 207, 342, 131, 343

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

Prime Factorization of 207 is 3 x 3 x 23

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

Prime Factorization of 131 is 131

Prime Factorization of 343 is 7 x 7 x 7

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(207, 342) = 7866

GCD(207, 342) = ( 207 x 342 ) / 7866

GCD(207, 342) = 70794 / 7866

GCD(207, 342) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 131

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

LCM(9, 131) = 1179

GCD(9, 131) = ( 9 x 131 ) / 1179

GCD(9, 131) = 1179 / 1179

GCD(9, 131) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 343

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

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

GCD(1, 343) = 343 / 343

GCD(1, 343) = 1

GCD of 207, 342, 131, 343 is 1

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1. What is the GCD of 207, 342, 131, 343?

GCD of 207, 342, 131, 343 is 1

2. Where do I get the detailed procedure to find GCD of 207, 342, 131, 343?

You can find a detailed procedure to find GCD of 207, 342, 131, 343 on our page.

3. How to find GCD of 207, 342, 131, 343 on a calculator?

You can find the GCD of 207, 342, 131, 343 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.