GCD of 968, 414, 638, 287 Calculator

Given Input numbers are 968, 414, 638, 287

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

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 968, 414, 638, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 968, 414, 638, 287 is 1.

Therefore, GCD of numbers 968, 414, 638, 287 is 1

Given Input Data is 968, 414, 638, 287

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

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 287 is 7 x 41

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(968, 414) = 200376

GCD(968, 414) = ( 968 x 414 ) / 200376

GCD(968, 414) = 400752 / 200376

GCD(968, 414) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 638

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

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

GCD(2, 638) = 1276 / 638

GCD(2, 638) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 287

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

LCM(2, 287) = 574

GCD(2, 287) = ( 2 x 287 ) / 574

GCD(2, 287) = 574 / 574

GCD(2, 287) = 1

GCD of 968, 414, 638, 287 is 1

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1. What is the GCD of 968, 414, 638, 287?

GCD of 968, 414, 638, 287 is 1

2. Where do I get the detailed procedure to find GCD of 968, 414, 638, 287?

You can find a detailed procedure to find GCD of 968, 414, 638, 287 on our page.

3. How to find GCD of 968, 414, 638, 287 on a calculator?

You can find the GCD of 968, 414, 638, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.