GCD of 410, 697, 13, 235 Calculator

Given Input numbers are 410, 697, 13, 235

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 235

List of positive integer divisors of 235 that divides 235 without a remainder.

1, 5, 47, 235

Greatest Common Divisior

We found the divisors of 410, 697, 13, 235 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 697, 13, 235 is 1.

Therefore, GCD of numbers 410, 697, 13, 235 is 1

Given Input Data is 410, 697, 13, 235

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 697 is 17 x 41

Prime Factorization of 13 is 13

Prime Factorization of 235 is 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(410, 697) = 6970

GCD(410, 697) = ( 410 x 697 ) / 6970

GCD(410, 697) = 285770 / 6970

GCD(410, 697) = 41

Step2:

Here we consider the GCD from the above i.e. 41 as first number and the next as 13

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

LCM(41, 13) = 533

GCD(41, 13) = ( 41 x 13 ) / 533

GCD(41, 13) = 533 / 533

GCD(41, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 235

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

LCM(1, 235) = 235

GCD(1, 235) = ( 1 x 235 ) / 235

GCD(1, 235) = 235 / 235

GCD(1, 235) = 1

GCD of 410, 697, 13, 235 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 830, 16, 240
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• GCD of 184, 475, 47, 486
• GCD of 680, 864, 68, 271
• GCD of 995, 609, 52, 972

1. What is the GCD of 410, 697, 13, 235?

GCD of 410, 697, 13, 235 is 1

2. Where do I get the detailed procedure to find GCD of 410, 697, 13, 235?

You can find a detailed procedure to find GCD of 410, 697, 13, 235 on our page.

3. How to find GCD of 410, 697, 13, 235 on a calculator?

You can find the GCD of 410, 697, 13, 235 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.