GCD of 689, 889, 470 Calculator

Given Input numbers are 689, 889, 470

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 889

List of positive integer divisors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Divisors of 470

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

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

Greatest Common Divisior

We found the divisors of 689, 889, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 889, 470 is 1.

Therefore, GCD of numbers 689, 889, 470 is 1

Given Input Data is 689, 889, 470

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 889 is 7 x 127

Prime Factorization of 470 is 2 x 5 x 47

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(689, 889) = 612521

GCD(689, 889) = ( 689 x 889 ) / 612521

GCD(689, 889) = 612521 / 612521

GCD(689, 889) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 689, 889, 470 is 1

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1. What is the GCD of 689, 889, 470?

GCD of 689, 889, 470 is 1

2. Where do I get the detailed procedure to find GCD of 689, 889, 470?

You can find a detailed procedure to find GCD of 689, 889, 470 on our page.

3. How to find GCD of 689, 889, 470 on a calculator?

You can find the GCD of 689, 889, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.