GCD of 200, 916, 637, 242 Calculator

Given Input numbers are 200, 916, 637, 242

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 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 637

List of positive integer divisors of 637 that divides 637 without a remainder.

1, 7, 13, 49, 91, 637

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 200, 916, 637, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 916, 637, 242 is 1.

Therefore, GCD of numbers 200, 916, 637, 242 is 1

Given Input Data is 200, 916, 637, 242

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 916 is 2 x 2 x 229

Prime Factorization of 637 is 7 x 7 x 13

Prime Factorization of 242 is 2 x 11 x 11

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, 916) = 45800

GCD(200, 916) = ( 200 x 916 ) / 45800

GCD(200, 916) = 183200 / 45800

GCD(200, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 637

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

LCM(4, 637) = 2548

GCD(4, 637) = ( 4 x 637 ) / 2548

GCD(4, 637) = 2548 / 2548

GCD(4, 637) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

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

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 200, 916, 637, 242 is 1

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• GCD of 386, 593, 414, 199
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1. What is the GCD of 200, 916, 637, 242?

GCD of 200, 916, 637, 242 is 1

2. Where do I get the detailed procedure to find GCD of 200, 916, 637, 242?

You can find a detailed procedure to find GCD of 200, 916, 637, 242 on our page.

3. How to find GCD of 200, 916, 637, 242 on a calculator?

You can find the GCD of 200, 916, 637, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.