GCD of 900, 257, 68, 660 Calculator

Given Input numbers are 900, 257, 68, 660

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

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 257

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

1, 257

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Greatest Common Divisior

We found the divisors of 900, 257, 68, 660 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 257, 68, 660 is 1.

Therefore, GCD of numbers 900, 257, 68, 660 is 1

Given Input Data is 900, 257, 68, 660

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

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

Prime Factorization of 257 is 257

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

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(900, 257) = 231300

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

GCD(900, 257) = 231300 / 231300

GCD(900, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 68

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

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

GCD(1, 68) = 68 / 68

GCD(1, 68) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 660

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

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

GCD(1, 660) = 660 / 660

GCD(1, 660) = 1

GCD of 900, 257, 68, 660 is 1

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1. What is the GCD of 900, 257, 68, 660?

GCD of 900, 257, 68, 660 is 1

2. Where do I get the detailed procedure to find GCD of 900, 257, 68, 660?

You can find a detailed procedure to find GCD of 900, 257, 68, 660 on our page.

3. How to find GCD of 900, 257, 68, 660 on a calculator?

You can find the GCD of 900, 257, 68, 660 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.