GCD of 521, 145, 89, 254 Calculator

Given Input numbers are 521, 145, 89, 254

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

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 521, 145, 89, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 521, 145, 89, 254 is 1.

Therefore, GCD of numbers 521, 145, 89, 254 is 1

Given Input Data is 521, 145, 89, 254

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

Prime Factorization of 521 is 521

Prime Factorization of 145 is 5 x 29

Prime Factorization of 89 is 89

Prime Factorization of 254 is 2 x 127

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(521, 145) = 75545

GCD(521, 145) = ( 521 x 145 ) / 75545

GCD(521, 145) = 75545 / 75545

GCD(521, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 254

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

LCM(1, 254) = 254

GCD(1, 254) = ( 1 x 254 ) / 254

GCD(1, 254) = 254 / 254

GCD(1, 254) = 1

GCD of 521, 145, 89, 254 is 1

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1. What is the GCD of 521, 145, 89, 254?

GCD of 521, 145, 89, 254 is 1

2. Where do I get the detailed procedure to find GCD of 521, 145, 89, 254?

You can find a detailed procedure to find GCD of 521, 145, 89, 254 on our page.

3. How to find GCD of 521, 145, 89, 254 on a calculator?

You can find the GCD of 521, 145, 89, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.