GCD of 364, 434, 505, 804 Calculator

Given Input numbers are 364, 434, 505, 804

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

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 364, 434, 505, 804 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 434, 505, 804 is 1.

Therefore, GCD of numbers 364, 434, 505, 804 is 1

Given Input Data is 364, 434, 505, 804

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 505 is 5 x 101

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(364, 434) = 11284

GCD(364, 434) = ( 364 x 434 ) / 11284

GCD(364, 434) = 157976 / 11284

GCD(364, 434) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 505

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

LCM(14, 505) = 7070

GCD(14, 505) = ( 14 x 505 ) / 7070

GCD(14, 505) = 7070 / 7070

GCD(14, 505) = 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 364, 434, 505, 804 is 1

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1. What is the GCD of 364, 434, 505, 804?

GCD of 364, 434, 505, 804 is 1

2. Where do I get the detailed procedure to find GCD of 364, 434, 505, 804?

You can find a detailed procedure to find GCD of 364, 434, 505, 804 on our page.

3. How to find GCD of 364, 434, 505, 804 on a calculator?

You can find the GCD of 364, 434, 505, 804 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.