GCD of 697, 835, 49, 814 Calculator

Given Input numbers are 697, 835, 49, 814

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

Divisors of 697

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

1, 17, 41, 697

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 697, 835, 49, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 835, 49, 814 is 1.

Therefore, GCD of numbers 697, 835, 49, 814 is 1

Given Input Data is 697, 835, 49, 814

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 835 is 5 x 167

Prime Factorization of 49 is 7 x 7

Prime Factorization of 814 is 2 x 11 x 37

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(697, 835) = 581995

GCD(697, 835) = ( 697 x 835 ) / 581995

GCD(697, 835) = 581995 / 581995

GCD(697, 835) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 697, 835, 49, 814 is 1

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1. What is the GCD of 697, 835, 49, 814?

GCD of 697, 835, 49, 814 is 1

2. Where do I get the detailed procedure to find GCD of 697, 835, 49, 814?

You can find a detailed procedure to find GCD of 697, 835, 49, 814 on our page.

3. How to find GCD of 697, 835, 49, 814 on a calculator?

You can find the GCD of 697, 835, 49, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.