GCD of 998, 697, 37, 893 Calculator

Given Input numbers are 998, 697, 37, 893

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

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 893

List of positive integer divisors of 893 that divides 893 without a remainder.

1, 19, 47, 893

Greatest Common Divisior

We found the divisors of 998, 697, 37, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 697, 37, 893 is 1.

Therefore, GCD of numbers 998, 697, 37, 893 is 1

Given Input Data is 998, 697, 37, 893

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 697 is 17 x 41

Prime Factorization of 37 is 37

Prime Factorization of 893 is 19 x 47

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(998, 697) = 695606

GCD(998, 697) = ( 998 x 697 ) / 695606

GCD(998, 697) = 695606 / 695606

GCD(998, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 893

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

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

GCD(1, 893) = 893 / 893

GCD(1, 893) = 1

GCD of 998, 697, 37, 893 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 178, 18, 618
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• GCD of 195, 479, 67, 582

1. What is the GCD of 998, 697, 37, 893?

GCD of 998, 697, 37, 893 is 1

2. Where do I get the detailed procedure to find GCD of 998, 697, 37, 893?

You can find a detailed procedure to find GCD of 998, 697, 37, 893 on our page.

3. How to find GCD of 998, 697, 37, 893 on a calculator?

You can find the GCD of 998, 697, 37, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.