GCD of 295, 492, 804, 322 Calculator

Given Input numbers are 295, 492, 804, 322

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

Divisors of 295

List of positive integer divisors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Greatest Common Divisior

We found the divisors of 295, 492, 804, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 295, 492, 804, 322 is 1.

Therefore, GCD of numbers 295, 492, 804, 322 is 1

Given Input Data is 295, 492, 804, 322

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

Prime Factorization of 295 is 5 x 59

Prime Factorization of 492 is 2 x 2 x 3 x 41

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

Prime Factorization of 322 is 2 x 7 x 23

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(295, 492) = 145140

GCD(295, 492) = ( 295 x 492 ) / 145140

GCD(295, 492) = 145140 / 145140

GCD(295, 492) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 322

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

LCM(1, 322) = 322

GCD(1, 322) = ( 1 x 322 ) / 322

GCD(1, 322) = 322 / 322

GCD(1, 322) = 1

GCD of 295, 492, 804, 322 is 1

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1. What is the GCD of 295, 492, 804, 322?

GCD of 295, 492, 804, 322 is 1

2. Where do I get the detailed procedure to find GCD of 295, 492, 804, 322?

You can find a detailed procedure to find GCD of 295, 492, 804, 322 on our page.

3. How to find GCD of 295, 492, 804, 322 on a calculator?

You can find the GCD of 295, 492, 804, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.