GCD of 391, 460, 690 Calculator

Given Input numbers are 391, 460, 690

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

Divisors of 391

List of positive integer divisors of 391 that divides 391 without a remainder.

1, 17, 23, 391

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 391, 460, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 460, 690 is 23.

Therefore, GCD of numbers 391, 460, 690 is 23

Given Input Data is 391, 460, 690

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

Prime Factorization of 391 is 17 x 23

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 690 is 2 x 3 x 5 x 23

Highest common occurrences in the given inputs are 23¹

Multiplying them we get the GCD as 23

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(391, 460) = 7820

GCD(391, 460) = ( 391 x 460 ) / 7820

GCD(391, 460) = 179860 / 7820

GCD(391, 460) = 23

Step2:

Here we consider the GCD from the above i.e. 23 as first number and the next as 690

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

LCM(23, 690) = 690

GCD(23, 690) = ( 23 x 690 ) / 690

GCD(23, 690) = 15870 / 690

GCD(23, 690) = 23

GCD of 391, 460, 690 is 23

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1. What is the GCD of 391, 460, 690?

GCD of 391, 460, 690 is 23

2. Where do I get the detailed procedure to find GCD of 391, 460, 690?

You can find a detailed procedure to find GCD of 391, 460, 690 on our page.

3. How to find GCD of 391, 460, 690 on a calculator?

You can find the GCD of 391, 460, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.