GCD of 18, 676, 505, 257 Calculator

Given Input numbers are 18, 676, 505, 257

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

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 257

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

1, 257

Greatest Common Divisior

We found the divisors of 18, 676, 505, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 18, 676, 505, 257 is 1.

Therefore, GCD of numbers 18, 676, 505, 257 is 1

Given Input Data is 18, 676, 505, 257

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

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 505 is 5 x 101

Prime Factorization of 257 is 257

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(18, 676) = 6084

GCD(18, 676) = ( 18 x 676 ) / 6084

GCD(18, 676) = 12168 / 6084

GCD(18, 676) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 505

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

LCM(2, 505) = 1010

GCD(2, 505) = ( 2 x 505 ) / 1010

GCD(2, 505) = 1010 / 1010

GCD(2, 505) = 1

Step3:

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

GCD of 18, 676, 505, 257 is 1

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• GCD of 36, 772, 399, 927
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• GCD of 31, 569, 924, 409

1. What is the GCD of 18, 676, 505, 257?

GCD of 18, 676, 505, 257 is 1

2. Where do I get the detailed procedure to find GCD of 18, 676, 505, 257?

You can find a detailed procedure to find GCD of 18, 676, 505, 257 on our page.

3. How to find GCD of 18, 676, 505, 257 on a calculator?

You can find the GCD of 18, 676, 505, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.