GCD of 304, 654, 847 Calculator

Given Input numbers are 304, 654, 847

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 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 304, 654, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 304, 654, 847 is 1.

Therefore, GCD of numbers 304, 654, 847 is 1

Given Input Data is 304, 654, 847

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 654 is 2 x 3 x 109

Prime Factorization of 847 is 7 x 11 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(304, 654) = 99408

GCD(304, 654) = ( 304 x 654 ) / 99408

GCD(304, 654) = 198816 / 99408

GCD(304, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 847

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

LCM(2, 847) = 1694

GCD(2, 847) = ( 2 x 847 ) / 1694

GCD(2, 847) = 1694 / 1694

GCD(2, 847) = 1

GCD of 304, 654, 847 is 1

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1. What is the GCD of 304, 654, 847?

GCD of 304, 654, 847 is 1

2. Where do I get the detailed procedure to find GCD of 304, 654, 847?

You can find a detailed procedure to find GCD of 304, 654, 847 on our page.

3. How to find GCD of 304, 654, 847 on a calculator?

You can find the GCD of 304, 654, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.