GCD of 214, 368, 29, 371 Calculator

Given Input numbers are 214, 368, 29, 371

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 371

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

1, 7, 53, 371

Greatest Common Divisior

We found the divisors of 214, 368, 29, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 368, 29, 371 is 1.

Therefore, GCD of numbers 214, 368, 29, 371 is 1

Given Input Data is 214, 368, 29, 371

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 29 is 29

Prime Factorization of 371 is 7 x 53

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(214, 368) = 39376

GCD(214, 368) = ( 214 x 368 ) / 39376

GCD(214, 368) = 78752 / 39376

GCD(214, 368) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 371

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

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

GCD(1, 371) = 371 / 371

GCD(1, 371) = 1

GCD of 214, 368, 29, 371 is 1

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1. What is the GCD of 214, 368, 29, 371?

GCD of 214, 368, 29, 371 is 1

2. Where do I get the detailed procedure to find GCD of 214, 368, 29, 371?

You can find a detailed procedure to find GCD of 214, 368, 29, 371 on our page.

3. How to find GCD of 214, 368, 29, 371 on a calculator?

You can find the GCD of 214, 368, 29, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.