GCD of 646, 257, 828, 684 Calculator

Given Input numbers are 646, 257, 828, 684

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

Divisors of 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 257

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

1, 257

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 646, 257, 828, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 257, 828, 684 is 1.

Therefore, GCD of numbers 646, 257, 828, 684 is 1

Given Input Data is 646, 257, 828, 684

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

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 257 is 257

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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(646, 257) = 166022

GCD(646, 257) = ( 646 x 257 ) / 166022

GCD(646, 257) = 166022 / 166022

GCD(646, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 646, 257, 828, 684 is 1

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1. What is the GCD of 646, 257, 828, 684?

GCD of 646, 257, 828, 684 is 1

2. Where do I get the detailed procedure to find GCD of 646, 257, 828, 684?

You can find a detailed procedure to find GCD of 646, 257, 828, 684 on our page.

3. How to find GCD of 646, 257, 828, 684 on a calculator?

You can find the GCD of 646, 257, 828, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.