GCD of 396, 350, 106, 539 Calculator

Given Input numbers are 396, 350, 106, 539

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

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 106

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

1, 2, 53, 106

Divisors of 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 396, 350, 106, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 350, 106, 539 is 1.

Therefore, GCD of numbers 396, 350, 106, 539 is 1

Given Input Data is 396, 350, 106, 539

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

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 106 is 2 x 53

Prime Factorization of 539 is 7 x 7 x 11

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(396, 350) = 69300

GCD(396, 350) = ( 396 x 350 ) / 69300

GCD(396, 350) = 138600 / 69300

GCD(396, 350) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 106

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

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

GCD(2, 106) = 212 / 106

GCD(2, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 539

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

LCM(2, 539) = 1078

GCD(2, 539) = ( 2 x 539 ) / 1078

GCD(2, 539) = 1078 / 1078

GCD(2, 539) = 1

GCD of 396, 350, 106, 539 is 1

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• GCD of 583, 134, 701, 257
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1. What is the GCD of 396, 350, 106, 539?

GCD of 396, 350, 106, 539 is 1

2. Where do I get the detailed procedure to find GCD of 396, 350, 106, 539?

You can find a detailed procedure to find GCD of 396, 350, 106, 539 on our page.

3. How to find GCD of 396, 350, 106, 539 on a calculator?

You can find the GCD of 396, 350, 106, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.