GCD of 796, 949, 468, 257 Calculator

Given Input numbers are 796, 949, 468, 257

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 796, 949, 468, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 949, 468, 257 is 1.

Therefore, GCD of numbers 796, 949, 468, 257 is 1

Given Input Data is 796, 949, 468, 257

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 949 is 13 x 73

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

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(796, 949) = 755404

GCD(796, 949) = ( 796 x 949 ) / 755404

GCD(796, 949) = 755404 / 755404

GCD(796, 949) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

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

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 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 796, 949, 468, 257 is 1

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1. What is the GCD of 796, 949, 468, 257?

GCD of 796, 949, 468, 257 is 1

2. Where do I get the detailed procedure to find GCD of 796, 949, 468, 257?

You can find a detailed procedure to find GCD of 796, 949, 468, 257 on our page.

3. How to find GCD of 796, 949, 468, 257 on a calculator?

You can find the GCD of 796, 949, 468, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.