GCD of 847, 312, 42, 581 Calculator

Given Input numbers are 847, 312, 42, 581

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

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 847, 312, 42, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 312, 42, 581 is 1.

Therefore, GCD of numbers 847, 312, 42, 581 is 1

Given Input Data is 847, 312, 42, 581

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

Prime Factorization of 847 is 7 x 11 x 11

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 581 is 7 x 83

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(847, 312) = 264264

GCD(847, 312) = ( 847 x 312 ) / 264264

GCD(847, 312) = 264264 / 264264

GCD(847, 312) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 847, 312, 42, 581 is 1

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1. What is the GCD of 847, 312, 42, 581?

GCD of 847, 312, 42, 581 is 1

2. Where do I get the detailed procedure to find GCD of 847, 312, 42, 581?

You can find a detailed procedure to find GCD of 847, 312, 42, 581 on our page.

3. How to find GCD of 847, 312, 42, 581 on a calculator?

You can find the GCD of 847, 312, 42, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.