GCD of 998, 707, 679 Calculator

Given Input numbers are 998, 707, 679

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 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Greatest Common Divisior

We found the divisors of 998, 707, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 707, 679 is 1.

Therefore, GCD of numbers 998, 707, 679 is 1

Given Input Data is 998, 707, 679

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 707 is 7 x 101

Prime Factorization of 679 is 7 x 97

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, 707) = 705586

GCD(998, 707) = ( 998 x 707 ) / 705586

GCD(998, 707) = 705586 / 705586

GCD(998, 707) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 679

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

LCM(1, 679) = 679

GCD(1, 679) = ( 1 x 679 ) / 679

GCD(1, 679) = 679 / 679

GCD(1, 679) = 1

GCD of 998, 707, 679 is 1

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1. What is the GCD of 998, 707, 679?

GCD of 998, 707, 679 is 1

2. Where do I get the detailed procedure to find GCD of 998, 707, 679?

You can find a detailed procedure to find GCD of 998, 707, 679 on our page.

3. How to find GCD of 998, 707, 679 on a calculator?

You can find the GCD of 998, 707, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.