GCD of 371, 845, 136, 289 Calculator

Given Input numbers are 371, 845, 136, 289

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

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 371, 845, 136, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 845, 136, 289 is 1.

Therefore, GCD of numbers 371, 845, 136, 289 is 1

Given Input Data is 371, 845, 136, 289

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 136 is 2 x 2 x 2 x 17

Prime Factorization of 289 is 17 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(371, 845) = 313495

GCD(371, 845) = ( 371 x 845 ) / 313495

GCD(371, 845) = 313495 / 313495

GCD(371, 845) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

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

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 371, 845, 136, 289 is 1

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1. What is the GCD of 371, 845, 136, 289?

GCD of 371, 845, 136, 289 is 1

2. Where do I get the detailed procedure to find GCD of 371, 845, 136, 289?

You can find a detailed procedure to find GCD of 371, 845, 136, 289 on our page.

3. How to find GCD of 371, 845, 136, 289 on a calculator?

You can find the GCD of 371, 845, 136, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.