GCD of 984, 695, 106 Calculator

Given Input numbers are 984, 695, 106

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

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 984, 695, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 984, 695, 106 is 1.

Therefore, GCD of numbers 984, 695, 106 is 1

Given Input Data is 984, 695, 106

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

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 695 is 5 x 139

Prime Factorization of 106 is 2 x 53

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(984, 695) = 683880

GCD(984, 695) = ( 984 x 695 ) / 683880

GCD(984, 695) = 683880 / 683880

GCD(984, 695) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

GCD of 984, 695, 106 is 1

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1. What is the GCD of 984, 695, 106?

GCD of 984, 695, 106 is 1

2. Where do I get the detailed procedure to find GCD of 984, 695, 106?

You can find a detailed procedure to find GCD of 984, 695, 106 on our page.

3. How to find GCD of 984, 695, 106 on a calculator?

You can find the GCD of 984, 695, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.