GCD of 257, 690, 791 Calculator

Given Input numbers are 257, 690, 791

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

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

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 257, 690, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 690, 791 is 1.

Therefore, GCD of numbers 257, 690, 791 is 1

Given Input Data is 257, 690, 791

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

Prime Factorization of 257 is 257

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

Prime Factorization of 791 is 7 x 113

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(257, 690) = 177330

GCD(257, 690) = ( 257 x 690 ) / 177330

GCD(257, 690) = 177330 / 177330

GCD(257, 690) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 257, 690, 791 is 1

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1. What is the GCD of 257, 690, 791?

GCD of 257, 690, 791 is 1

2. Where do I get the detailed procedure to find GCD of 257, 690, 791?

You can find a detailed procedure to find GCD of 257, 690, 791 on our page.

3. How to find GCD of 257, 690, 791 on a calculator?

You can find the GCD of 257, 690, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.