GCD of 988, 691, 825 Calculator

Given Input numbers are 988, 691, 825

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

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 691

List of positive integer divisors of 691 that divides 691 without a remainder.

1, 691

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Greatest Common Divisior

We found the divisors of 988, 691, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 988, 691, 825 is 1.

Therefore, GCD of numbers 988, 691, 825 is 1

Given Input Data is 988, 691, 825

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

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 691 is 691

Prime Factorization of 825 is 3 x 5 x 5 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(988, 691) = 682708

GCD(988, 691) = ( 988 x 691 ) / 682708

GCD(988, 691) = 682708 / 682708

GCD(988, 691) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

GCD of 988, 691, 825 is 1

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1. What is the GCD of 988, 691, 825?

GCD of 988, 691, 825 is 1

2. Where do I get the detailed procedure to find GCD of 988, 691, 825?

You can find a detailed procedure to find GCD of 988, 691, 825 on our page.

3. How to find GCD of 988, 691, 825 on a calculator?

You can find the GCD of 988, 691, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.