GCD of 438, 925, 106, 214 Calculator

Given Input numbers are 438, 925, 106, 214

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 438, 925, 106, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 925, 106, 214 is 1.

Therefore, GCD of numbers 438, 925, 106, 214 is 1

Given Input Data is 438, 925, 106, 214

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 106 is 2 x 53

Prime Factorization of 214 is 2 x 107

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(438, 925) = 405150

GCD(438, 925) = ( 438 x 925 ) / 405150

GCD(438, 925) = 405150 / 405150

GCD(438, 925) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 438, 925, 106, 214 is 1

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1. What is the GCD of 438, 925, 106, 214?

GCD of 438, 925, 106, 214 is 1

2. Where do I get the detailed procedure to find GCD of 438, 925, 106, 214?

You can find a detailed procedure to find GCD of 438, 925, 106, 214 on our page.

3. How to find GCD of 438, 925, 106, 214 on a calculator?

You can find the GCD of 438, 925, 106, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.