GCD of 421, 428, 189, 527 Calculator

Given Input numbers are 421, 428, 189, 527

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

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

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 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Greatest Common Divisior

We found the divisors of 421, 428, 189, 527 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 421, 428, 189, 527 is 1.

Therefore, GCD of numbers 421, 428, 189, 527 is 1

Given Input Data is 421, 428, 189, 527

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

Prime Factorization of 421 is 421

Prime Factorization of 428 is 2 x 2 x 107

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

Prime Factorization of 527 is 17 x 31

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(421, 428) = 180188

GCD(421, 428) = ( 421 x 428 ) / 180188

GCD(421, 428) = 180188 / 180188

GCD(421, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 189

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

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

GCD(1, 189) = 189 / 189

GCD(1, 189) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 527

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

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

GCD(1, 527) = 527 / 527

GCD(1, 527) = 1

GCD of 421, 428, 189, 527 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 725, 581, 201, 117
• GCD of 203, 790, 234, 431
• GCD of 232, 547, 578, 158
• GCD of 851, 600, 690, 667
• GCD of 377, 443, 164, 508

1. What is the GCD of 421, 428, 189, 527?

GCD of 421, 428, 189, 527 is 1

2. Where do I get the detailed procedure to find GCD of 421, 428, 189, 527?

You can find a detailed procedure to find GCD of 421, 428, 189, 527 on our page.

3. How to find GCD of 421, 428, 189, 527 on a calculator?

You can find the GCD of 421, 428, 189, 527 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.