GCD of 538, 905, 71, 654 Calculator

Given Input numbers are 538, 905, 71, 654

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

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

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 538, 905, 71, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 905, 71, 654 is 1.

Therefore, GCD of numbers 538, 905, 71, 654 is 1

Given Input Data is 538, 905, 71, 654

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 905 is 5 x 181

Prime Factorization of 71 is 71

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(538, 905) = 486890

GCD(538, 905) = ( 538 x 905 ) / 486890

GCD(538, 905) = 486890 / 486890

GCD(538, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 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 538, 905, 71, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 111, 712, 58, 952
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• GCD of 970, 895, 94, 200

1. What is the GCD of 538, 905, 71, 654?

GCD of 538, 905, 71, 654 is 1

2. Where do I get the detailed procedure to find GCD of 538, 905, 71, 654?

You can find a detailed procedure to find GCD of 538, 905, 71, 654 on our page.

3. How to find GCD of 538, 905, 71, 654 on a calculator?

You can find the GCD of 538, 905, 71, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.