GCD of 214, 430, 42, 706 Calculator

Given Input numbers are 214, 430, 42, 706

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 430

List of positive integer divisors of 430 that divides 430 without a remainder.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 214, 430, 42, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 430, 42, 706 is 2.

Therefore, GCD of numbers 214, 430, 42, 706 is 2

Given Input Data is 214, 430, 42, 706

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 430 is 2 x 5 x 43

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 706 is 2 x 353

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 430) = 46010

GCD(214, 430) = ( 214 x 430 ) / 46010

GCD(214, 430) = 92020 / 46010

GCD(214, 430) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 42

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

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

GCD(2, 42) = 84 / 42

GCD(2, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 706

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

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

GCD(2, 706) = 1412 / 706

GCD(2, 706) = 2

GCD of 214, 430, 42, 706 is 2

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• GCD of 251, 586, 61, 963
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1. What is the GCD of 214, 430, 42, 706?

GCD of 214, 430, 42, 706 is 2

2. Where do I get the detailed procedure to find GCD of 214, 430, 42, 706?

You can find a detailed procedure to find GCD of 214, 430, 42, 706 on our page.

3. How to find GCD of 214, 430, 42, 706 on a calculator?

You can find the GCD of 214, 430, 42, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.