GCD of 648, 522, 998, 693 Calculator

Given Input numbers are 648, 522, 998, 693

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

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 998

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

1, 2, 499, 998

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Greatest Common Divisior

We found the divisors of 648, 522, 998, 693 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 648, 522, 998, 693 is 1.

Therefore, GCD of numbers 648, 522, 998, 693 is 1

Given Input Data is 648, 522, 998, 693

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

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 998 is 2 x 499

Prime Factorization of 693 is 3 x 3 x 7 x 11

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(648, 522) = 18792

GCD(648, 522) = ( 648 x 522 ) / 18792

GCD(648, 522) = 338256 / 18792

GCD(648, 522) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 998

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

LCM(18, 998) = 8982

GCD(18, 998) = ( 18 x 998 ) / 8982

GCD(18, 998) = 17964 / 8982

GCD(18, 998) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 693

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

LCM(2, 693) = 1386

GCD(2, 693) = ( 2 x 693 ) / 1386

GCD(2, 693) = 1386 / 1386

GCD(2, 693) = 1

GCD of 648, 522, 998, 693 is 1

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1. What is the GCD of 648, 522, 998, 693?

GCD of 648, 522, 998, 693 is 1

2. Where do I get the detailed procedure to find GCD of 648, 522, 998, 693?

You can find a detailed procedure to find GCD of 648, 522, 998, 693 on our page.

3. How to find GCD of 648, 522, 998, 693 on a calculator?

You can find the GCD of 648, 522, 998, 693 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.