GCD of 475, 314, 145, 804 Calculator

Given Input numbers are 475, 314, 145, 804

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

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 475, 314, 145, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 314, 145, 804 is 1.

Therefore, GCD of numbers 475, 314, 145, 804 is 1

Given Input Data is 475, 314, 145, 804

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 314 is 2 x 157

Prime Factorization of 145 is 5 x 29

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(475, 314) = 149150

GCD(475, 314) = ( 475 x 314 ) / 149150

GCD(475, 314) = 149150 / 149150

GCD(475, 314) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 145

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

LCM(1, 145) = 145

GCD(1, 145) = ( 1 x 145 ) / 145

GCD(1, 145) = 145 / 145

GCD(1, 145) = 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 475, 314, 145, 804 is 1

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1. What is the GCD of 475, 314, 145, 804?

GCD of 475, 314, 145, 804 is 1

2. Where do I get the detailed procedure to find GCD of 475, 314, 145, 804?

You can find a detailed procedure to find GCD of 475, 314, 145, 804 on our page.

3. How to find GCD of 475, 314, 145, 804 on a calculator?

You can find the GCD of 475, 314, 145, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.