GCD of 463, 440, 78, 898 Calculator

Given Input numbers are 463, 440, 78, 898

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

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Greatest Common Divisior

We found the divisors of 463, 440, 78, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 440, 78, 898 is 1.

Therefore, GCD of numbers 463, 440, 78, 898 is 1

Given Input Data is 463, 440, 78, 898

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

Prime Factorization of 463 is 463

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 898 is 2 x 449

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(463, 440) = 203720

GCD(463, 440) = ( 463 x 440 ) / 203720

GCD(463, 440) = 203720 / 203720

GCD(463, 440) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 78

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

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

GCD(1, 78) = 78 / 78

GCD(1, 78) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

GCD of 463, 440, 78, 898 is 1

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1. What is the GCD of 463, 440, 78, 898?

GCD of 463, 440, 78, 898 is 1

2. Where do I get the detailed procedure to find GCD of 463, 440, 78, 898?

You can find a detailed procedure to find GCD of 463, 440, 78, 898 on our page.

3. How to find GCD of 463, 440, 78, 898 on a calculator?

You can find the GCD of 463, 440, 78, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.