GCD of 804, 178, 45, 417 Calculator

Given Input numbers are 804, 178, 45, 417

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

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Greatest Common Divisior

We found the divisors of 804, 178, 45, 417 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 178, 45, 417 is 1.

Therefore, GCD of numbers 804, 178, 45, 417 is 1

Given Input Data is 804, 178, 45, 417

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

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 417 is 3 x 139

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(804, 178) = 71556

GCD(804, 178) = ( 804 x 178 ) / 71556

GCD(804, 178) = 143112 / 71556

GCD(804, 178) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 45

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

LCM(2, 45) = 90

GCD(2, 45) = ( 2 x 45 ) / 90

GCD(2, 45) = 90 / 90

GCD(2, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 417

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

LCM(1, 417) = 417

GCD(1, 417) = ( 1 x 417 ) / 417

GCD(1, 417) = 417 / 417

GCD(1, 417) = 1

GCD of 804, 178, 45, 417 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 948, 543, 41, 626
• GCD of 408, 625, 24, 454
• GCD of 325, 415, 47, 722
• GCD of 775, 270, 80, 828
• GCD of 681, 860, 51, 724

1. What is the GCD of 804, 178, 45, 417?

GCD of 804, 178, 45, 417 is 1

2. Where do I get the detailed procedure to find GCD of 804, 178, 45, 417?

You can find a detailed procedure to find GCD of 804, 178, 45, 417 on our page.

3. How to find GCD of 804, 178, 45, 417 on a calculator?

You can find the GCD of 804, 178, 45, 417 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.