GCD of 200, 397, 74, 217 Calculator

Given Input numbers are 200, 397, 74, 217

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 397

List of positive integer divisors of 397 that divides 397 without a remainder.

1, 397

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 217

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

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 200, 397, 74, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 397, 74, 217 is 1.

Therefore, GCD of numbers 200, 397, 74, 217 is 1

Given Input Data is 200, 397, 74, 217

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 397 is 397

Prime Factorization of 74 is 2 x 37

Prime Factorization of 217 is 7 x 31

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(200, 397) = 79400

GCD(200, 397) = ( 200 x 397 ) / 79400

GCD(200, 397) = 79400 / 79400

GCD(200, 397) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 200, 397, 74, 217 is 1

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• GCD of 211, 356, 92, 642
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1. What is the GCD of 200, 397, 74, 217?

GCD of 200, 397, 74, 217 is 1

2. Where do I get the detailed procedure to find GCD of 200, 397, 74, 217?

You can find a detailed procedure to find GCD of 200, 397, 74, 217 on our page.

3. How to find GCD of 200, 397, 74, 217 on a calculator?

You can find the GCD of 200, 397, 74, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.