GCD of 998, 732, 657 Calculator

Given Input numbers are 998, 732, 657

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 998, 732, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 732, 657 is 1.

Therefore, GCD of numbers 998, 732, 657 is 1

Given Input Data is 998, 732, 657

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 657 is 3 x 3 x 73

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, 732) = 365268

GCD(998, 732) = ( 998 x 732 ) / 365268

GCD(998, 732) = 730536 / 365268

GCD(998, 732) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 998, 732, 657 is 1

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1. What is the GCD of 998, 732, 657?

GCD of 998, 732, 657 is 1

2. Where do I get the detailed procedure to find GCD of 998, 732, 657?

You can find a detailed procedure to find GCD of 998, 732, 657 on our page.

3. How to find GCD of 998, 732, 657 on a calculator?

You can find the GCD of 998, 732, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.