GCD of 389, 608, 574, 175 Calculator

Given Input numbers are 389, 608, 574, 175

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

Divisors of 389

List of positive integer divisors of 389 that divides 389 without a remainder.

1, 389

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Greatest Common Divisior

We found the divisors of 389, 608, 574, 175 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 389, 608, 574, 175 is 1.

Therefore, GCD of numbers 389, 608, 574, 175 is 1

Given Input Data is 389, 608, 574, 175

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

Prime Factorization of 389 is 389

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 574 is 2 x 7 x 41

Prime Factorization of 175 is 5 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(389, 608) = 236512

GCD(389, 608) = ( 389 x 608 ) / 236512

GCD(389, 608) = 236512 / 236512

GCD(389, 608) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

GCD of 389, 608, 574, 175 is 1

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1. What is the GCD of 389, 608, 574, 175?

GCD of 389, 608, 574, 175 is 1

2. Where do I get the detailed procedure to find GCD of 389, 608, 574, 175?

You can find a detailed procedure to find GCD of 389, 608, 574, 175 on our page.

3. How to find GCD of 389, 608, 574, 175 on a calculator?

You can find the GCD of 389, 608, 574, 175 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.