GCD of 257, 900, 530, 362 Calculator

Given Input numbers are 257, 900, 530, 362

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 530

List of positive integer divisors of 530 that divides 530 without a remainder.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 257, 900, 530, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 900, 530, 362 is 1.

Therefore, GCD of numbers 257, 900, 530, 362 is 1

Given Input Data is 257, 900, 530, 362

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

Prime Factorization of 257 is 257

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 530 is 2 x 5 x 53

Prime Factorization of 362 is 2 x 181

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(257, 900) = 231300

GCD(257, 900) = ( 257 x 900 ) / 231300

GCD(257, 900) = 231300 / 231300

GCD(257, 900) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 530

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

LCM(1, 530) = 530

GCD(1, 530) = ( 1 x 530 ) / 530

GCD(1, 530) = 530 / 530

GCD(1, 530) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 362

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

LCM(1, 362) = 362

GCD(1, 362) = ( 1 x 362 ) / 362

GCD(1, 362) = 362 / 362

GCD(1, 362) = 1

GCD of 257, 900, 530, 362 is 1

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1. What is the GCD of 257, 900, 530, 362?

GCD of 257, 900, 530, 362 is 1

2. Where do I get the detailed procedure to find GCD of 257, 900, 530, 362?

You can find a detailed procedure to find GCD of 257, 900, 530, 362 on our page.

3. How to find GCD of 257, 900, 530, 362 on a calculator?

You can find the GCD of 257, 900, 530, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.