GCD of 847, 413, 187, 119 Calculator

Given Input numbers are 847, 413, 187, 119

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 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 187

List of positive integer divisors of 187 that divides 187 without a remainder.

1, 11, 17, 187

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Greatest Common Divisior

We found the divisors of 847, 413, 187, 119 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 847, 413, 187, 119 is 1.

Therefore, GCD of numbers 847, 413, 187, 119 is 1

Given Input Data is 847, 413, 187, 119

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 413 is 7 x 59

Prime Factorization of 187 is 11 x 17

Prime Factorization of 119 is 7 x 17

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, 413) = 49973

GCD(847, 413) = ( 847 x 413 ) / 49973

GCD(847, 413) = 349811 / 49973

GCD(847, 413) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 187

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

LCM(7, 187) = 1309

GCD(7, 187) = ( 7 x 187 ) / 1309

GCD(7, 187) = 1309 / 1309

GCD(7, 187) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 119

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

LCM(1, 119) = 119

GCD(1, 119) = ( 1 x 119 ) / 119

GCD(1, 119) = 119 / 119

GCD(1, 119) = 1

GCD of 847, 413, 187, 119 is 1

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1. What is the GCD of 847, 413, 187, 119?

GCD of 847, 413, 187, 119 is 1

2. Where do I get the detailed procedure to find GCD of 847, 413, 187, 119?

You can find a detailed procedure to find GCD of 847, 413, 187, 119 on our page.

3. How to find GCD of 847, 413, 187, 119 on a calculator?

You can find the GCD of 847, 413, 187, 119 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.