GCD of 842, 704, 27, 331 Calculator

Given Input numbers are 842, 704, 27, 331

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

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 704

List of positive integer divisors of 704 that divides 704 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 842, 704, 27, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 842, 704, 27, 331 is 1.

Therefore, GCD of numbers 842, 704, 27, 331 is 1

Given Input Data is 842, 704, 27, 331

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

Prime Factorization of 842 is 2 x 421

Prime Factorization of 704 is 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 331 is 331

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(842, 704) = 296384

GCD(842, 704) = ( 842 x 704 ) / 296384

GCD(842, 704) = 592768 / 296384

GCD(842, 704) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 842, 704, 27, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 810, 32, 476
• GCD of 997, 924, 56, 322
• GCD of 730, 942, 79, 125
• GCD of 948, 137, 54, 365
• GCD of 203, 857, 61, 549

1. What is the GCD of 842, 704, 27, 331?

GCD of 842, 704, 27, 331 is 1

2. Where do I get the detailed procedure to find GCD of 842, 704, 27, 331?

You can find a detailed procedure to find GCD of 842, 704, 27, 331 on our page.

3. How to find GCD of 842, 704, 27, 331 on a calculator?

You can find the GCD of 842, 704, 27, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.