GCD of 847, 381, 820, 508 Calculator

Given Input numbers are 847, 381, 820, 508

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 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 847, 381, 820, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 381, 820, 508 is 1.

Therefore, GCD of numbers 847, 381, 820, 508 is 1

Given Input Data is 847, 381, 820, 508

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 381 is 3 x 127

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 508 is 2 x 2 x 127

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, 381) = 322707

GCD(847, 381) = ( 847 x 381 ) / 322707

GCD(847, 381) = 322707 / 322707

GCD(847, 381) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

GCD of 847, 381, 820, 508 is 1

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1. What is the GCD of 847, 381, 820, 508?

GCD of 847, 381, 820, 508 is 1

2. Where do I get the detailed procedure to find GCD of 847, 381, 820, 508?

You can find a detailed procedure to find GCD of 847, 381, 820, 508 on our page.

3. How to find GCD of 847, 381, 820, 508 on a calculator?

You can find the GCD of 847, 381, 820, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.