GCD of 997, 926, 19, 208 Calculator

Given Input numbers are 997, 926, 19, 208

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

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Greatest Common Divisior

We found the divisors of 997, 926, 19, 208 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 926, 19, 208 is 1.

Therefore, GCD of numbers 997, 926, 19, 208 is 1

Given Input Data is 997, 926, 19, 208

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

Prime Factorization of 997 is 997

Prime Factorization of 926 is 2 x 463

Prime Factorization of 19 is 19

Prime Factorization of 208 is 2 x 2 x 2 x 2 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(997, 926) = 923222

GCD(997, 926) = ( 997 x 926 ) / 923222

GCD(997, 926) = 923222 / 923222

GCD(997, 926) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 208

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

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

GCD(1, 208) = 208 / 208

GCD(1, 208) = 1

GCD of 997, 926, 19, 208 is 1

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• GCD of 371, 397, 64, 453
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• GCD of 861, 236, 89, 204

1. What is the GCD of 997, 926, 19, 208?

GCD of 997, 926, 19, 208 is 1

2. Where do I get the detailed procedure to find GCD of 997, 926, 19, 208?

You can find a detailed procedure to find GCD of 997, 926, 19, 208 on our page.

3. How to find GCD of 997, 926, 19, 208 on a calculator?

You can find the GCD of 997, 926, 19, 208 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.