GCD of 217, 238, 414, 731 Calculator

Given Input numbers are 217, 238, 414, 731

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

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 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Greatest Common Divisior

We found the divisors of 217, 238, 414, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 238, 414, 731 is 1.

Therefore, GCD of numbers 217, 238, 414, 731 is 1

Given Input Data is 217, 238, 414, 731

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 238 is 2 x 7 x 17

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

Prime Factorization of 731 is 17 x 43

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, 238) = 7378

GCD(217, 238) = ( 217 x 238 ) / 7378

GCD(217, 238) = 51646 / 7378

GCD(217, 238) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 414

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

LCM(7, 414) = 2898

GCD(7, 414) = ( 7 x 414 ) / 2898

GCD(7, 414) = 2898 / 2898

GCD(7, 414) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 731

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

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

GCD(1, 731) = 731 / 731

GCD(1, 731) = 1

GCD of 217, 238, 414, 731 is 1

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• GCD of 673, 914, 147, 942
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1. What is the GCD of 217, 238, 414, 731?

GCD of 217, 238, 414, 731 is 1

2. Where do I get the detailed procedure to find GCD of 217, 238, 414, 731?

You can find a detailed procedure to find GCD of 217, 238, 414, 731 on our page.

3. How to find GCD of 217, 238, 414, 731 on a calculator?

You can find the GCD of 217, 238, 414, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.