GCD of 30, 105, 572, 788 Calculator

Given Input numbers are 30, 105, 572, 788

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

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 105

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

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

Divisors of 572

List of positive integer divisors of 572 that divides 572 without a remainder.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 30, 105, 572, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 105, 572, 788 is 1.

Therefore, GCD of numbers 30, 105, 572, 788 is 1

Given Input Data is 30, 105, 572, 788

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

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 572 is 2 x 2 x 11 x 13

Prime Factorization of 788 is 2 x 2 x 197

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(30, 105) = 210

GCD(30, 105) = ( 30 x 105 ) / 210

GCD(30, 105) = 3150 / 210

GCD(30, 105) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 572

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

LCM(15, 572) = 8580

GCD(15, 572) = ( 15 x 572 ) / 8580

GCD(15, 572) = 8580 / 8580

GCD(15, 572) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 30, 105, 572, 788 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 30, 105, 572, 788?

GCD of 30, 105, 572, 788 is 1

2. Where do I get the detailed procedure to find GCD of 30, 105, 572, 788?

You can find a detailed procedure to find GCD of 30, 105, 572, 788 on our page.

3. How to find GCD of 30, 105, 572, 788 on a calculator?

You can find the GCD of 30, 105, 572, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.