GCD of 570, 382, 106, 105 Calculator

Given Input numbers are 570, 382, 106, 105

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

Divisors of 570

List of positive integer divisors of 570 that divides 570 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 106

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

1, 2, 53, 106

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Greatest Common Divisior

We found the divisors of 570, 382, 106, 105 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 382, 106, 105 is 1.

Therefore, GCD of numbers 570, 382, 106, 105 is 1

Given Input Data is 570, 382, 106, 105

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

Prime Factorization of 570 is 2 x 3 x 5 x 19

Prime Factorization of 382 is 2 x 191

Prime Factorization of 106 is 2 x 53

Prime Factorization of 105 is 3 x 5 x 7

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(570, 382) = 108870

GCD(570, 382) = ( 570 x 382 ) / 108870

GCD(570, 382) = 217740 / 108870

GCD(570, 382) = 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 105

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

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

GCD(2, 105) = 210 / 210

GCD(2, 105) = 1

GCD of 570, 382, 106, 105 is 1

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1. What is the GCD of 570, 382, 106, 105?

GCD of 570, 382, 106, 105 is 1

2. Where do I get the detailed procedure to find GCD of 570, 382, 106, 105?

You can find a detailed procedure to find GCD of 570, 382, 106, 105 on our page.

3. How to find GCD of 570, 382, 106, 105 on a calculator?

You can find the GCD of 570, 382, 106, 105 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.