GCD of 249, 464, 17, 956 Calculator

Given Input numbers are 249, 464, 17, 956

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 249, 464, 17, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 464, 17, 956 is 1.

Therefore, GCD of numbers 249, 464, 17, 956 is 1

Given Input Data is 249, 464, 17, 956

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 17 is 17

Prime Factorization of 956 is 2 x 2 x 239

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(249, 464) = 115536

GCD(249, 464) = ( 249 x 464 ) / 115536

GCD(249, 464) = 115536 / 115536

GCD(249, 464) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 956

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

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

GCD(1, 956) = 956 / 956

GCD(1, 956) = 1

GCD of 249, 464, 17, 956 is 1

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1. What is the GCD of 249, 464, 17, 956?

GCD of 249, 464, 17, 956 is 1

2. Where do I get the detailed procedure to find GCD of 249, 464, 17, 956?

You can find a detailed procedure to find GCD of 249, 464, 17, 956 on our page.

3. How to find GCD of 249, 464, 17, 956 on a calculator?

You can find the GCD of 249, 464, 17, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.