GCD of 804, 771, 619, 342 Calculator

Given Input numbers are 804, 771, 619, 342

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 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Divisors of 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 804, 771, 619, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 771, 619, 342 is 1.

Therefore, GCD of numbers 804, 771, 619, 342 is 1

Given Input Data is 804, 771, 619, 342

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 771 is 3 x 257

Prime Factorization of 619 is 619

Prime Factorization of 342 is 2 x 3 x 3 x 19

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, 771) = 206628

GCD(804, 771) = ( 804 x 771 ) / 206628

GCD(804, 771) = 619884 / 206628

GCD(804, 771) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 619

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

LCM(3, 619) = 1857

GCD(3, 619) = ( 3 x 619 ) / 1857

GCD(3, 619) = 1857 / 1857

GCD(3, 619) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

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

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 804, 771, 619, 342 is 1

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1. What is the GCD of 804, 771, 619, 342?

GCD of 804, 771, 619, 342 is 1

2. Where do I get the detailed procedure to find GCD of 804, 771, 619, 342?

You can find a detailed procedure to find GCD of 804, 771, 619, 342 on our page.

3. How to find GCD of 804, 771, 619, 342 on a calculator?

You can find the GCD of 804, 771, 619, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.