GCD of 89, 110, 828, 478 Calculator

Given Input numbers are 89, 110, 828, 478

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

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 89, 110, 828, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 89, 110, 828, 478 is 1.

Therefore, GCD of numbers 89, 110, 828, 478 is 1

Given Input Data is 89, 110, 828, 478

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

Prime Factorization of 89 is 89

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 478 is 2 x 239

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(89, 110) = 9790

GCD(89, 110) = ( 89 x 110 ) / 9790

GCD(89, 110) = 9790 / 9790

GCD(89, 110) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 89, 110, 828, 478 is 1

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1. What is the GCD of 89, 110, 828, 478?

GCD of 89, 110, 828, 478 is 1

2. Where do I get the detailed procedure to find GCD of 89, 110, 828, 478?

You can find a detailed procedure to find GCD of 89, 110, 828, 478 on our page.

3. How to find GCD of 89, 110, 828, 478 on a calculator?

You can find the GCD of 89, 110, 828, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.