GCD of 217, 149, 433, 391 Calculator

Given Input numbers are 217, 149, 433, 391

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Greatest Common Divisior

We found the divisors of 217, 149, 433, 391 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 149, 433, 391 is 1.

Therefore, GCD of numbers 217, 149, 433, 391 is 1

Given Input Data is 217, 149, 433, 391

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 149 is 149

Prime Factorization of 433 is 433

Prime Factorization of 391 is 17 x 23

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(217, 149) = 32333

GCD(217, 149) = ( 217 x 149 ) / 32333

GCD(217, 149) = 32333 / 32333

GCD(217, 149) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 391

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

LCM(1, 391) = 391

GCD(1, 391) = ( 1 x 391 ) / 391

GCD(1, 391) = 391 / 391

GCD(1, 391) = 1

GCD of 217, 149, 433, 391 is 1

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1. What is the GCD of 217, 149, 433, 391?

GCD of 217, 149, 433, 391 is 1

2. Where do I get the detailed procedure to find GCD of 217, 149, 433, 391?

You can find a detailed procedure to find GCD of 217, 149, 433, 391 on our page.

3. How to find GCD of 217, 149, 433, 391 on a calculator?

You can find the GCD of 217, 149, 433, 391 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.