GCD of 699, 644, 75, 184 Calculator

Given Input numbers are 699, 644, 75, 184

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 644

List of positive integer divisors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 184

List of positive integer divisors of 184 that divides 184 without a remainder.

1, 2, 4, 8, 23, 46, 92, 184

Greatest Common Divisior

We found the divisors of 699, 644, 75, 184 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 644, 75, 184 is 1.

Therefore, GCD of numbers 699, 644, 75, 184 is 1

Given Input Data is 699, 644, 75, 184

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 644 is 2 x 2 x 7 x 23

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 184 is 2 x 2 x 2 x 23

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(699, 644) = 450156

GCD(699, 644) = ( 699 x 644 ) / 450156

GCD(699, 644) = 450156 / 450156

GCD(699, 644) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 75

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

LCM(1, 75) = 75

GCD(1, 75) = ( 1 x 75 ) / 75

GCD(1, 75) = 75 / 75

GCD(1, 75) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 184

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

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

GCD(1, 184) = 184 / 184

GCD(1, 184) = 1

GCD of 699, 644, 75, 184 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 954, 31, 173
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• GCD of 520, 455, 84, 763

1. What is the GCD of 699, 644, 75, 184?

GCD of 699, 644, 75, 184 is 1

2. Where do I get the detailed procedure to find GCD of 699, 644, 75, 184?

You can find a detailed procedure to find GCD of 699, 644, 75, 184 on our page.

3. How to find GCD of 699, 644, 75, 184 on a calculator?

You can find the GCD of 699, 644, 75, 184 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.