GCD of 650, 414, 201 Calculator

Given Input numbers are 650, 414, 201

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

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 650, 414, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 650, 414, 201 is 1.

Therefore, GCD of numbers 650, 414, 201 is 1

Given Input Data is 650, 414, 201

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

Prime Factorization of 650 is 2 x 5 x 5 x 13

Prime Factorization of 414 is 2 x 3 x 3 x 23

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(650, 414) = 134550

GCD(650, 414) = ( 650 x 414 ) / 134550

GCD(650, 414) = 269100 / 134550

GCD(650, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 201

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

LCM(2, 201) = 402

GCD(2, 201) = ( 2 x 201 ) / 402

GCD(2, 201) = 402 / 402

GCD(2, 201) = 1

GCD of 650, 414, 201 is 1

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1. What is the GCD of 650, 414, 201?

GCD of 650, 414, 201 is 1

2. Where do I get the detailed procedure to find GCD of 650, 414, 201?

You can find a detailed procedure to find GCD of 650, 414, 201 on our page.

3. How to find GCD of 650, 414, 201 on a calculator?

You can find the GCD of 650, 414, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.