GCD of 214, 565, 368, 470 Calculator

Given Input numbers are 214, 565, 368, 470

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 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

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 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 214, 565, 368, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 565, 368, 470 is 1.

Therefore, GCD of numbers 214, 565, 368, 470 is 1

Given Input Data is 214, 565, 368, 470

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 565 is 5 x 113

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

Prime Factorization of 470 is 2 x 5 x 47

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, 565) = 120910

GCD(214, 565) = ( 214 x 565 ) / 120910

GCD(214, 565) = 120910 / 120910

GCD(214, 565) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 368

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

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

GCD(1, 368) = 368 / 368

GCD(1, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 214, 565, 368, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 998, 482, 339
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1. What is the GCD of 214, 565, 368, 470?

GCD of 214, 565, 368, 470 is 1

2. Where do I get the detailed procedure to find GCD of 214, 565, 368, 470?

You can find a detailed procedure to find GCD of 214, 565, 368, 470 on our page.

3. How to find GCD of 214, 565, 368, 470 on a calculator?

You can find the GCD of 214, 565, 368, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.