GCD of 438, 732, 106, 379 Calculator

Given Input numbers are 438, 732, 106, 379

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 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 106

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

1, 2, 53, 106

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 438, 732, 106, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 732, 106, 379 is 1.

Therefore, GCD of numbers 438, 732, 106, 379 is 1

Given Input Data is 438, 732, 106, 379

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 732 is 2 x 2 x 3 x 61

Prime Factorization of 106 is 2 x 53

Prime Factorization of 379 is 379

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, 732) = 53436

GCD(438, 732) = ( 438 x 732 ) / 53436

GCD(438, 732) = 320616 / 53436

GCD(438, 732) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 106

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

LCM(6, 106) = 318

GCD(6, 106) = ( 6 x 106 ) / 318

GCD(6, 106) = 636 / 318

GCD(6, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 379

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

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

GCD(2, 379) = 758 / 758

GCD(2, 379) = 1

GCD of 438, 732, 106, 379 is 1

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1. What is the GCD of 438, 732, 106, 379?

GCD of 438, 732, 106, 379 is 1

2. Where do I get the detailed procedure to find GCD of 438, 732, 106, 379?

You can find a detailed procedure to find GCD of 438, 732, 106, 379 on our page.

3. How to find GCD of 438, 732, 106, 379 on a calculator?

You can find the GCD of 438, 732, 106, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.