GCD of 991, 200, 38, 351 Calculator

Given Input numbers are 991, 200, 38, 351

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

Divisors of 991

List of positive integer divisors of 991 that divides 991 without a remainder.

1, 991

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 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Greatest Common Divisior

We found the divisors of 991, 200, 38, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 991, 200, 38, 351 is 1.

Therefore, GCD of numbers 991, 200, 38, 351 is 1

Given Input Data is 991, 200, 38, 351

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

Prime Factorization of 991 is 991

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 351 is 3 x 3 x 3 x 13

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(991, 200) = 198200

GCD(991, 200) = ( 991 x 200 ) / 198200

GCD(991, 200) = 198200 / 198200

GCD(991, 200) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 351

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

LCM(1, 351) = 351

GCD(1, 351) = ( 1 x 351 ) / 351

GCD(1, 351) = 351 / 351

GCD(1, 351) = 1

GCD of 991, 200, 38, 351 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 986, 26, 928
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• GCD of 634, 732, 41, 615
• GCD of 783, 706, 70, 118

1. What is the GCD of 991, 200, 38, 351?

GCD of 991, 200, 38, 351 is 1

2. Where do I get the detailed procedure to find GCD of 991, 200, 38, 351?

You can find a detailed procedure to find GCD of 991, 200, 38, 351 on our page.

3. How to find GCD of 991, 200, 38, 351 on a calculator?

You can find the GCD of 991, 200, 38, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.