GCD of 189, 474, 435, 241 Calculator

Given Input numbers are 189, 474, 435, 241

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Greatest Common Divisior

We found the divisors of 189, 474, 435, 241 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 474, 435, 241 is 1.

Therefore, GCD of numbers 189, 474, 435, 241 is 1

Given Input Data is 189, 474, 435, 241

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 241 is 241

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(189, 474) = 29862

GCD(189, 474) = ( 189 x 474 ) / 29862

GCD(189, 474) = 89586 / 29862

GCD(189, 474) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 241

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

LCM(3, 241) = 723

GCD(3, 241) = ( 3 x 241 ) / 723

GCD(3, 241) = 723 / 723

GCD(3, 241) = 1

GCD of 189, 474, 435, 241 is 1

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1. What is the GCD of 189, 474, 435, 241?

GCD of 189, 474, 435, 241 is 1

2. Where do I get the detailed procedure to find GCD of 189, 474, 435, 241?

You can find a detailed procedure to find GCD of 189, 474, 435, 241 on our page.

3. How to find GCD of 189, 474, 435, 241 on a calculator?

You can find the GCD of 189, 474, 435, 241 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.