GCD of 214, 426, 30, 733 Calculator

Given Input numbers are 214, 426, 30, 733

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 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

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 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Greatest Common Divisior

We found the divisors of 214, 426, 30, 733 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 426, 30, 733 is 1.

Therefore, GCD of numbers 214, 426, 30, 733 is 1

Given Input Data is 214, 426, 30, 733

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 733 is 733

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, 426) = 45582

GCD(214, 426) = ( 214 x 426 ) / 45582

GCD(214, 426) = 91164 / 45582

GCD(214, 426) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 733

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

LCM(2, 733) = 1466

GCD(2, 733) = ( 2 x 733 ) / 1466

GCD(2, 733) = 1466 / 1466

GCD(2, 733) = 1

GCD of 214, 426, 30, 733 is 1

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• GCD of 844, 860, 34, 662
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• GCD of 398, 697, 83, 821

1. What is the GCD of 214, 426, 30, 733?

GCD of 214, 426, 30, 733 is 1

2. Where do I get the detailed procedure to find GCD of 214, 426, 30, 733?

You can find a detailed procedure to find GCD of 214, 426, 30, 733 on our page.

3. How to find GCD of 214, 426, 30, 733 on a calculator?

You can find the GCD of 214, 426, 30, 733 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.