GCD of 214, 790, 369, 538 Calculator

Given Input numbers are 214, 790, 369, 538

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 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 214, 790, 369, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 790, 369, 538 is 1.

Therefore, GCD of numbers 214, 790, 369, 538 is 1

Given Input Data is 214, 790, 369, 538

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 538 is 2 x 269

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, 790) = 84530

GCD(214, 790) = ( 214 x 790 ) / 84530

GCD(214, 790) = 169060 / 84530

GCD(214, 790) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 214, 790, 369, 538 is 1

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• GCD of 945, 570, 225, 228
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1. What is the GCD of 214, 790, 369, 538?

GCD of 214, 790, 369, 538 is 1

2. Where do I get the detailed procedure to find GCD of 214, 790, 369, 538?

You can find a detailed procedure to find GCD of 214, 790, 369, 538 on our page.

3. How to find GCD of 214, 790, 369, 538 on a calculator?

You can find the GCD of 214, 790, 369, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.