GCD of 398, 910, 77, 286 Calculator

Given Input numbers are 398, 910, 77, 286

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

Divisors of 398

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

1, 2, 199, 398

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 286

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

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

Greatest Common Divisior

We found the divisors of 398, 910, 77, 286 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 398, 910, 77, 286 is 1.

Therefore, GCD of numbers 398, 910, 77, 286 is 1

Given Input Data is 398, 910, 77, 286

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

Prime Factorization of 398 is 2 x 199

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 77 is 7 x 11

Prime Factorization of 286 is 2 x 11 x 13

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(398, 910) = 181090

GCD(398, 910) = ( 398 x 910 ) / 181090

GCD(398, 910) = 362180 / 181090

GCD(398, 910) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 286

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

LCM(1, 286) = 286

GCD(1, 286) = ( 1 x 286 ) / 286

GCD(1, 286) = 286 / 286

GCD(1, 286) = 1

GCD of 398, 910, 77, 286 is 1

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• GCD of 686, 635, 61, 751
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1. What is the GCD of 398, 910, 77, 286?

GCD of 398, 910, 77, 286 is 1

2. Where do I get the detailed procedure to find GCD of 398, 910, 77, 286?

You can find a detailed procedure to find GCD of 398, 910, 77, 286 on our page.

3. How to find GCD of 398, 910, 77, 286 on a calculator?

You can find the GCD of 398, 910, 77, 286 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.