GCD of 470, 790, 17, 827 Calculator

Given Input numbers are 470, 790, 17, 827

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

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 470, 790, 17, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 470, 790, 17, 827 is 1.

Therefore, GCD of numbers 470, 790, 17, 827 is 1

Given Input Data is 470, 790, 17, 827

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

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 17 is 17

Prime Factorization of 827 is 827

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(470, 790) = 37130

GCD(470, 790) = ( 470 x 790 ) / 37130

GCD(470, 790) = 371300 / 37130

GCD(470, 790) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 17

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

LCM(10, 17) = 170

GCD(10, 17) = ( 10 x 17 ) / 170

GCD(10, 17) = 170 / 170

GCD(10, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 470, 790, 17, 827 is 1

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1. What is the GCD of 470, 790, 17, 827?

GCD of 470, 790, 17, 827 is 1

2. Where do I get the detailed procedure to find GCD of 470, 790, 17, 827?

You can find a detailed procedure to find GCD of 470, 790, 17, 827 on our page.

3. How to find GCD of 470, 790, 17, 827 on a calculator?

You can find the GCD of 470, 790, 17, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.