GCD of 257, 750, 16, 468 Calculator

Given Input numbers are 257, 750, 16, 468

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 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Greatest Common Divisior

We found the divisors of 257, 750, 16, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 750, 16, 468 is 1.

Therefore, GCD of numbers 257, 750, 16, 468 is 1

Given Input Data is 257, 750, 16, 468

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

Prime Factorization of 257 is 257

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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, 750) = 192750

GCD(257, 750) = ( 257 x 750 ) / 192750

GCD(257, 750) = 192750 / 192750

GCD(257, 750) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

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

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

GCD of 257, 750, 16, 468 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 521, 596, 28, 720
• GCD of 433, 440, 46, 473
• GCD of 561, 184, 69, 328
• GCD of 444, 686, 53, 389
• GCD of 629, 648, 35, 745

1. What is the GCD of 257, 750, 16, 468?

GCD of 257, 750, 16, 468 is 1

2. Where do I get the detailed procedure to find GCD of 257, 750, 16, 468?

You can find a detailed procedure to find GCD of 257, 750, 16, 468 on our page.

3. How to find GCD of 257, 750, 16, 468 on a calculator?

You can find the GCD of 257, 750, 16, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.