GCD of 476, 257, 65, 884 Calculator

Given Input numbers are 476, 257, 65, 884

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

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 257

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

1, 257

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 884

List of positive integer divisors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Greatest Common Divisior

We found the divisors of 476, 257, 65, 884 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 476, 257, 65, 884 is 1.

Therefore, GCD of numbers 476, 257, 65, 884 is 1

Given Input Data is 476, 257, 65, 884

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

Prime Factorization of 476 is 2 x 2 x 7 x 17

Prime Factorization of 257 is 257

Prime Factorization of 65 is 5 x 13

Prime Factorization of 884 is 2 x 2 x 13 x 17

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(476, 257) = 122332

GCD(476, 257) = ( 476 x 257 ) / 122332

GCD(476, 257) = 122332 / 122332

GCD(476, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 884

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

LCM(1, 884) = 884

GCD(1, 884) = ( 1 x 884 ) / 884

GCD(1, 884) = 884 / 884

GCD(1, 884) = 1

GCD of 476, 257, 65, 884 is 1

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1. What is the GCD of 476, 257, 65, 884?

GCD of 476, 257, 65, 884 is 1

2. Where do I get the detailed procedure to find GCD of 476, 257, 65, 884?

You can find a detailed procedure to find GCD of 476, 257, 65, 884 on our page.

3. How to find GCD of 476, 257, 65, 884 on a calculator?

You can find the GCD of 476, 257, 65, 884 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.