GCD of 286, 315, 787, 398 Calculator

Given Input numbers are 286, 315, 787, 398

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Divisors of 315

List of positive integer divisors of 315 that divides 315 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 286, 315, 787, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 315, 787, 398 is 1.

Therefore, GCD of numbers 286, 315, 787, 398 is 1

Given Input Data is 286, 315, 787, 398

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

Prime Factorization of 286 is 2 x 11 x 13

Prime Factorization of 315 is 3 x 3 x 5 x 7

Prime Factorization of 787 is 787

Prime Factorization of 398 is 2 x 199

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(286, 315) = 90090

GCD(286, 315) = ( 286 x 315 ) / 90090

GCD(286, 315) = 90090 / 90090

GCD(286, 315) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 787

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

LCM(1, 787) = 787

GCD(1, 787) = ( 1 x 787 ) / 787

GCD(1, 787) = 787 / 787

GCD(1, 787) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 286, 315, 787, 398 is 1

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• GCD of 993, 680, 326, 693
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1. What is the GCD of 286, 315, 787, 398?

GCD of 286, 315, 787, 398 is 1

2. Where do I get the detailed procedure to find GCD of 286, 315, 787, 398?

You can find a detailed procedure to find GCD of 286, 315, 787, 398 on our page.

3. How to find GCD of 286, 315, 787, 398 on a calculator?

You can find the GCD of 286, 315, 787, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.