GCD of 782, 198, 17, 897 Calculator

Given Input numbers are 782, 198, 17, 897

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 782, 198, 17, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 198, 17, 897 is 1.

Therefore, GCD of numbers 782, 198, 17, 897 is 1

Given Input Data is 782, 198, 17, 897

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 198 is 2 x 3 x 3 x 11

Prime Factorization of 17 is 17

Prime Factorization of 897 is 3 x 13 x 23

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(782, 198) = 77418

GCD(782, 198) = ( 782 x 198 ) / 77418

GCD(782, 198) = 154836 / 77418

GCD(782, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 17

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

LCM(2, 17) = 34

GCD(2, 17) = ( 2 x 17 ) / 34

GCD(2, 17) = 34 / 34

GCD(2, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 782, 198, 17, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 529, 78, 425
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• GCD of 826, 264, 28, 967
• GCD of 783, 242, 32, 836
• GCD of 176, 612, 97, 666

1. What is the GCD of 782, 198, 17, 897?

GCD of 782, 198, 17, 897 is 1

2. Where do I get the detailed procedure to find GCD of 782, 198, 17, 897?

You can find a detailed procedure to find GCD of 782, 198, 17, 897 on our page.

3. How to find GCD of 782, 198, 17, 897 on a calculator?

You can find the GCD of 782, 198, 17, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.