GCD of 629, 355, 89, 998 Calculator

Given Input numbers are 629, 355, 89, 998

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

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 629, 355, 89, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 355, 89, 998 is 1.

Therefore, GCD of numbers 629, 355, 89, 998 is 1

Given Input Data is 629, 355, 89, 998

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 355 is 5 x 71

Prime Factorization of 89 is 89

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(629, 355) = 223295

GCD(629, 355) = ( 629 x 355 ) / 223295

GCD(629, 355) = 223295 / 223295

GCD(629, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 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 629, 355, 89, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 741, 97, 392
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• GCD of 643, 439, 34, 220

1. What is the GCD of 629, 355, 89, 998?

GCD of 629, 355, 89, 998 is 1

2. Where do I get the detailed procedure to find GCD of 629, 355, 89, 998?

You can find a detailed procedure to find GCD of 629, 355, 89, 998 on our page.

3. How to find GCD of 629, 355, 89, 998 on a calculator?

You can find the GCD of 629, 355, 89, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.