GCD of 477, 527, 14, 804 Calculator

Given Input numbers are 477, 527, 14, 804

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

Divisors of 477

List of positive integer divisors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Greatest Common Divisior

We found the divisors of 477, 527, 14, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 527, 14, 804 is 1.

Therefore, GCD of numbers 477, 527, 14, 804 is 1

Given Input Data is 477, 527, 14, 804

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

Prime Factorization of 477 is 3 x 3 x 53

Prime Factorization of 527 is 17 x 31

Prime Factorization of 14 is 2 x 7

Prime Factorization of 804 is 2 x 2 x 3 x 67

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(477, 527) = 251379

GCD(477, 527) = ( 477 x 527 ) / 251379

GCD(477, 527) = 251379 / 251379

GCD(477, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 804

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

LCM(1, 804) = 804

GCD(1, 804) = ( 1 x 804 ) / 804

GCD(1, 804) = 804 / 804

GCD(1, 804) = 1

GCD of 477, 527, 14, 804 is 1

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1. What is the GCD of 477, 527, 14, 804?

GCD of 477, 527, 14, 804 is 1

2. Where do I get the detailed procedure to find GCD of 477, 527, 14, 804?

You can find a detailed procedure to find GCD of 477, 527, 14, 804 on our page.

3. How to find GCD of 477, 527, 14, 804 on a calculator?

You can find the GCD of 477, 527, 14, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.