GCD of 804, 959, 21, 294 Calculator

Given Input numbers are 804, 959, 21, 294

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 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Greatest Common Divisior

We found the divisors of 804, 959, 21, 294 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 804, 959, 21, 294 is 1.

Therefore, GCD of numbers 804, 959, 21, 294 is 1

Given Input Data is 804, 959, 21, 294

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 959 is 7 x 137

Prime Factorization of 21 is 3 x 7

Prime Factorization of 294 is 2 x 3 x 7 x 7

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, 959) = 771036

GCD(804, 959) = ( 804 x 959 ) / 771036

GCD(804, 959) = 771036 / 771036

GCD(804, 959) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 294

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

LCM(1, 294) = 294

GCD(1, 294) = ( 1 x 294 ) / 294

GCD(1, 294) = 294 / 294

GCD(1, 294) = 1

GCD of 804, 959, 21, 294 is 1

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1. What is the GCD of 804, 959, 21, 294?

GCD of 804, 959, 21, 294 is 1

2. Where do I get the detailed procedure to find GCD of 804, 959, 21, 294?

You can find a detailed procedure to find GCD of 804, 959, 21, 294 on our page.

3. How to find GCD of 804, 959, 21, 294 on a calculator?

You can find the GCD of 804, 959, 21, 294 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.