GCD of 898, 878, 638, 755 Calculator

Given Input numbers are 898, 878, 638, 755

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

Divisors of 898

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

1, 2, 449, 898

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

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 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Greatest Common Divisior

We found the divisors of 898, 878, 638, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 878, 638, 755 is 1.

Therefore, GCD of numbers 898, 878, 638, 755 is 1

Given Input Data is 898, 878, 638, 755

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

Prime Factorization of 898 is 2 x 449

Prime Factorization of 878 is 2 x 439

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 755 is 5 x 151

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(898, 878) = 394222

GCD(898, 878) = ( 898 x 878 ) / 394222

GCD(898, 878) = 788444 / 394222

GCD(898, 878) = 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 755

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

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

GCD(2, 755) = 1510 / 1510

GCD(2, 755) = 1

GCD of 898, 878, 638, 755 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 905, 613, 664
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• GCD of 362, 165, 185, 729

1. What is the GCD of 898, 878, 638, 755?

GCD of 898, 878, 638, 755 is 1

2. Where do I get the detailed procedure to find GCD of 898, 878, 638, 755?

You can find a detailed procedure to find GCD of 898, 878, 638, 755 on our page.

3. How to find GCD of 898, 878, 638, 755 on a calculator?

You can find the GCD of 898, 878, 638, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.