GCD of 574, 828, 30, 169 Calculator

Given Input numbers are 574, 828, 30, 169

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

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 574, 828, 30, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 828, 30, 169 is 1.

Therefore, GCD of numbers 574, 828, 30, 169 is 1

Given Input Data is 574, 828, 30, 169

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

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 169 is 13 x 13

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(574, 828) = 237636

GCD(574, 828) = ( 574 x 828 ) / 237636

GCD(574, 828) = 475272 / 237636

GCD(574, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 30

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

LCM(2, 30) = 30

GCD(2, 30) = ( 2 x 30 ) / 30

GCD(2, 30) = 60 / 30

GCD(2, 30) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 169

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

LCM(2, 169) = 338

GCD(2, 169) = ( 2 x 169 ) / 338

GCD(2, 169) = 338 / 338

GCD(2, 169) = 1

GCD of 574, 828, 30, 169 is 1

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1. What is the GCD of 574, 828, 30, 169?

GCD of 574, 828, 30, 169 is 1

2. Where do I get the detailed procedure to find GCD of 574, 828, 30, 169?

You can find a detailed procedure to find GCD of 574, 828, 30, 169 on our page.

3. How to find GCD of 574, 828, 30, 169 on a calculator?

You can find the GCD of 574, 828, 30, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.