GCD of 371, 286, 30, 355 Calculator

Given Input numbers are 371, 286, 30, 355

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 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 371, 286, 30, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 286, 30, 355 is 1.

Therefore, GCD of numbers 371, 286, 30, 355 is 1

Given Input Data is 371, 286, 30, 355

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

Prime Factorization of 371 is 7 x 53

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 355 is 5 x 71

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, 286) = 106106

GCD(371, 286) = ( 371 x 286 ) / 106106

GCD(371, 286) = 106106 / 106106

GCD(371, 286) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 371, 286, 30, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 491, 30, 267
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1. What is the GCD of 371, 286, 30, 355?

GCD of 371, 286, 30, 355 is 1

2. Where do I get the detailed procedure to find GCD of 371, 286, 30, 355?

You can find a detailed procedure to find GCD of 371, 286, 30, 355 on our page.

3. How to find GCD of 371, 286, 30, 355 on a calculator?

You can find the GCD of 371, 286, 30, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.