GCD of 478, 257, 690 Calculator

Given Input numbers are 478, 257, 690

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

Divisors of 478

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

1, 2, 239, 478

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

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 478, 257, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 257, 690 is 1.

Therefore, GCD of numbers 478, 257, 690 is 1

Given Input Data is 478, 257, 690

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 257 is 257

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

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(478, 257) = 122846

GCD(478, 257) = ( 478 x 257 ) / 122846

GCD(478, 257) = 122846 / 122846

GCD(478, 257) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 478, 257, 690 is 1

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1. What is the GCD of 478, 257, 690?

GCD of 478, 257, 690 is 1

2. Where do I get the detailed procedure to find GCD of 478, 257, 690?

You can find a detailed procedure to find GCD of 478, 257, 690 on our page.

3. How to find GCD of 478, 257, 690 on a calculator?

You can find the GCD of 478, 257, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.