GCD of 998, 328, 741, 643 Calculator

Given Input numbers are 998, 328, 741, 643

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 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 741

List of positive integer divisors of 741 that divides 741 without a remainder.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 998, 328, 741, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 328, 741, 643 is 1.

Therefore, GCD of numbers 998, 328, 741, 643 is 1

Given Input Data is 998, 328, 741, 643

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 741 is 3 x 13 x 19

Prime Factorization of 643 is 643

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, 328) = 163672

GCD(998, 328) = ( 998 x 328 ) / 163672

GCD(998, 328) = 327344 / 163672

GCD(998, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 741

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

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

GCD(2, 741) = 1482 / 1482

GCD(2, 741) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 998, 328, 741, 643 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 358, 992, 412, 773
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• GCD of 344, 922, 100, 112
• GCD of 442, 450, 308, 741
• GCD of 170, 584, 737, 755

1. What is the GCD of 998, 328, 741, 643?

GCD of 998, 328, 741, 643 is 1

2. Where do I get the detailed procedure to find GCD of 998, 328, 741, 643?

You can find a detailed procedure to find GCD of 998, 328, 741, 643 on our page.

3. How to find GCD of 998, 328, 741, 643 on a calculator?

You can find the GCD of 998, 328, 741, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.