GCD of 281, 189, 623, 654 Calculator

Given Input numbers are 281, 189, 623, 654

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Greatest Common Divisior

We found the divisors of 281, 189, 623, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 189, 623, 654 is 1.

Therefore, GCD of numbers 281, 189, 623, 654 is 1

Given Input Data is 281, 189, 623, 654

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

Prime Factorization of 281 is 281

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 654 is 2 x 3 x 109

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(281, 189) = 53109

GCD(281, 189) = ( 281 x 189 ) / 53109

GCD(281, 189) = 53109 / 53109

GCD(281, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 623

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

LCM(1, 623) = 623

GCD(1, 623) = ( 1 x 623 ) / 623

GCD(1, 623) = 623 / 623

GCD(1, 623) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 654

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

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

GCD(1, 654) = 654 / 654

GCD(1, 654) = 1

GCD of 281, 189, 623, 654 is 1

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1. What is the GCD of 281, 189, 623, 654?

GCD of 281, 189, 623, 654 is 1

2. Where do I get the detailed procedure to find GCD of 281, 189, 623, 654?

You can find a detailed procedure to find GCD of 281, 189, 623, 654 on our page.

3. How to find GCD of 281, 189, 623, 654 on a calculator?

You can find the GCD of 281, 189, 623, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.