GCD of 631, 516, 42, 106 Calculator

Given Input numbers are 631, 516, 42, 106

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

Divisors of 631

List of positive integer divisors of 631 that divides 631 without a remainder.

1, 631

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 106

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

1, 2, 53, 106

Greatest Common Divisior

We found the divisors of 631, 516, 42, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 631, 516, 42, 106 is 1.

Therefore, GCD of numbers 631, 516, 42, 106 is 1

Given Input Data is 631, 516, 42, 106

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

Prime Factorization of 631 is 631

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 106 is 2 x 53

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(631, 516) = 325596

GCD(631, 516) = ( 631 x 516 ) / 325596

GCD(631, 516) = 325596 / 325596

GCD(631, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

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

GCD of 631, 516, 42, 106 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 878, 99, 296
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1. What is the GCD of 631, 516, 42, 106?

GCD of 631, 516, 42, 106 is 1

2. Where do I get the detailed procedure to find GCD of 631, 516, 42, 106?

You can find a detailed procedure to find GCD of 631, 516, 42, 106 on our page.

3. How to find GCD of 631, 516, 42, 106 on a calculator?

You can find the GCD of 631, 516, 42, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.