GCD of 340, 413, 201 Calculator

Given Input numbers are 340, 413, 201

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

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 201

List of positive integer divisors of 201 that divides 201 without a remainder.

1, 3, 67, 201

Greatest Common Divisior

We found the divisors of 340, 413, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 340, 413, 201 is 1.

Therefore, GCD of numbers 340, 413, 201 is 1

Given Input Data is 340, 413, 201

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

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 413 is 7 x 59

Prime Factorization of 201 is 3 x 67

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(340, 413) = 140420

GCD(340, 413) = ( 340 x 413 ) / 140420

GCD(340, 413) = 140420 / 140420

GCD(340, 413) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 201

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

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

GCD(1, 201) = 201 / 201

GCD(1, 201) = 1

GCD of 340, 413, 201 is 1

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1. What is the GCD of 340, 413, 201?

GCD of 340, 413, 201 is 1

2. Where do I get the detailed procedure to find GCD of 340, 413, 201?

You can find a detailed procedure to find GCD of 340, 413, 201 on our page.

3. How to find GCD of 340, 413, 201 on a calculator?

You can find the GCD of 340, 413, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.