GCD of 257, 645, 96, 829 Calculator

Given Input numbers are 257, 645, 96, 829

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 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Greatest Common Divisior

We found the divisors of 257, 645, 96, 829 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 645, 96, 829 is 1.

Therefore, GCD of numbers 257, 645, 96, 829 is 1

Given Input Data is 257, 645, 96, 829

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

Prime Factorization of 257 is 257

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 829 is 829

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, 645) = 165765

GCD(257, 645) = ( 257 x 645 ) / 165765

GCD(257, 645) = 165765 / 165765

GCD(257, 645) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 829

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

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

GCD(1, 829) = 829 / 829

GCD(1, 829) = 1

GCD of 257, 645, 96, 829 is 1

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1. What is the GCD of 257, 645, 96, 829?

GCD of 257, 645, 96, 829 is 1

2. Where do I get the detailed procedure to find GCD of 257, 645, 96, 829?

You can find a detailed procedure to find GCD of 257, 645, 96, 829 on our page.

3. How to find GCD of 257, 645, 96, 829 on a calculator?

You can find the GCD of 257, 645, 96, 829 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.