GCD of 304, 697, 640, 699 Calculator

Given Input numbers are 304, 697, 640, 699

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

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 640

List of positive integer divisors of 640 that divides 640 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 699

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

1, 3, 233, 699

Greatest Common Divisior

We found the divisors of 304, 697, 640, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 697, 640, 699 is 1.

Therefore, GCD of numbers 304, 697, 640, 699 is 1

Given Input Data is 304, 697, 640, 699

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

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

Prime Factorization of 697 is 17 x 41

Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 699 is 3 x 233

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(304, 697) = 211888

GCD(304, 697) = ( 304 x 697 ) / 211888

GCD(304, 697) = 211888 / 211888

GCD(304, 697) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 640

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

LCM(1, 640) = 640

GCD(1, 640) = ( 1 x 640 ) / 640

GCD(1, 640) = 640 / 640

GCD(1, 640) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 699

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

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

GCD(1, 699) = 699 / 699

GCD(1, 699) = 1

GCD of 304, 697, 640, 699 is 1

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1. What is the GCD of 304, 697, 640, 699?

GCD of 304, 697, 640, 699 is 1

2. Where do I get the detailed procedure to find GCD of 304, 697, 640, 699?

You can find a detailed procedure to find GCD of 304, 697, 640, 699 on our page.

3. How to find GCD of 304, 697, 640, 699 on a calculator?

You can find the GCD of 304, 697, 640, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.