GCD of 257, 334, 763, 363 Calculator

Given Input numbers are 257, 334, 763, 363

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 257, 334, 763, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 334, 763, 363 is 1.

Therefore, GCD of numbers 257, 334, 763, 363 is 1

Given Input Data is 257, 334, 763, 363

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

Prime Factorization of 257 is 257

Prime Factorization of 334 is 2 x 167

Prime Factorization of 763 is 7 x 109

Prime Factorization of 363 is 3 x 11 x 11

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, 334) = 85838

GCD(257, 334) = ( 257 x 334 ) / 85838

GCD(257, 334) = 85838 / 85838

GCD(257, 334) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 257, 334, 763, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 462, 738, 599
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• GCD of 864, 185, 466, 983

1. What is the GCD of 257, 334, 763, 363?

GCD of 257, 334, 763, 363 is 1

2. Where do I get the detailed procedure to find GCD of 257, 334, 763, 363?

You can find a detailed procedure to find GCD of 257, 334, 763, 363 on our page.

3. How to find GCD of 257, 334, 763, 363 on a calculator?

You can find the GCD of 257, 334, 763, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.