GCD of 493, 825, 257, 253 Calculator

Given Input numbers are 493, 825, 257, 253

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 257

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

1, 257

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Greatest Common Divisior

We found the divisors of 493, 825, 257, 253 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 825, 257, 253 is 1.

Therefore, GCD of numbers 493, 825, 257, 253 is 1

Given Input Data is 493, 825, 257, 253

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 257 is 257

Prime Factorization of 253 is 11 x 23

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(493, 825) = 406725

GCD(493, 825) = ( 493 x 825 ) / 406725

GCD(493, 825) = 406725 / 406725

GCD(493, 825) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 253

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

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

GCD(1, 253) = 253 / 253

GCD(1, 253) = 1

GCD of 493, 825, 257, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 784, 573, 678
• GCD of 152, 579, 939, 450
• GCD of 555, 950, 951, 349
• GCD of 229, 726, 853, 903
• GCD of 200, 552, 525, 359

1. What is the GCD of 493, 825, 257, 253?

GCD of 493, 825, 257, 253 is 1

2. Where do I get the detailed procedure to find GCD of 493, 825, 257, 253?

You can find a detailed procedure to find GCD of 493, 825, 257, 253 on our page.

3. How to find GCD of 493, 825, 257, 253 on a calculator?

You can find the GCD of 493, 825, 257, 253 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.