GCD of 475, 798, 890, 867 Calculator

Given Input numbers are 475, 798, 890, 867

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

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Greatest Common Divisior

We found the divisors of 475, 798, 890, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 475, 798, 890, 867 is 1.

Therefore, GCD of numbers 475, 798, 890, 867 is 1

Given Input Data is 475, 798, 890, 867

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

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 890 is 2 x 5 x 89

Prime Factorization of 867 is 3 x 17 x 17

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(475, 798) = 19950

GCD(475, 798) = ( 475 x 798 ) / 19950

GCD(475, 798) = 379050 / 19950

GCD(475, 798) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 890

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

LCM(19, 890) = 16910

GCD(19, 890) = ( 19 x 890 ) / 16910

GCD(19, 890) = 16910 / 16910

GCD(19, 890) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 867

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

LCM(1, 867) = 867

GCD(1, 867) = ( 1 x 867 ) / 867

GCD(1, 867) = 867 / 867

GCD(1, 867) = 1

GCD of 475, 798, 890, 867 is 1

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1. What is the GCD of 475, 798, 890, 867?

GCD of 475, 798, 890, 867 is 1

2. Where do I get the detailed procedure to find GCD of 475, 798, 890, 867?

You can find a detailed procedure to find GCD of 475, 798, 890, 867 on our page.

3. How to find GCD of 475, 798, 890, 867 on a calculator?

You can find the GCD of 475, 798, 890, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.