GCD of 332, 676, 17, 998 Calculator

Given Input numbers are 332, 676, 17, 998

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

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 17

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

1, 17

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 332, 676, 17, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 332, 676, 17, 998 is 1.

Therefore, GCD of numbers 332, 676, 17, 998 is 1

Given Input Data is 332, 676, 17, 998

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

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 17 is 17

Prime Factorization of 998 is 2 x 499

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(332, 676) = 56108

GCD(332, 676) = ( 332 x 676 ) / 56108

GCD(332, 676) = 224432 / 56108

GCD(332, 676) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 17

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

LCM(4, 17) = 68

GCD(4, 17) = ( 4 x 17 ) / 68

GCD(4, 17) = 68 / 68

GCD(4, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 332, 676, 17, 998 is 1

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• GCD of 829, 226, 13, 385
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1. What is the GCD of 332, 676, 17, 998?

GCD of 332, 676, 17, 998 is 1

2. Where do I get the detailed procedure to find GCD of 332, 676, 17, 998?

You can find a detailed procedure to find GCD of 332, 676, 17, 998 on our page.

3. How to find GCD of 332, 676, 17, 998 on a calculator?

You can find the GCD of 332, 676, 17, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.