GCD of 304, 647, 15, 699 Calculator

Given Input numbers are 304, 647, 15, 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 647

List of positive integer divisors of 647 that divides 647 without a remainder.

1, 647

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

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, 647, 15, 699 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 647, 15, 699 is 1.

Therefore, GCD of numbers 304, 647, 15, 699 is 1

Given Input Data is 304, 647, 15, 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 647 is 647

Prime Factorization of 15 is 3 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, 647) = 196688

GCD(304, 647) = ( 304 x 647 ) / 196688

GCD(304, 647) = 196688 / 196688

GCD(304, 647) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 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, 647, 15, 699 is 1

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1. What is the GCD of 304, 647, 15, 699?

GCD of 304, 647, 15, 699 is 1

2. Where do I get the detailed procedure to find GCD of 304, 647, 15, 699?

You can find a detailed procedure to find GCD of 304, 647, 15, 699 on our page.

3. How to find GCD of 304, 647, 15, 699 on a calculator?

You can find the GCD of 304, 647, 15, 699 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.