GCD of 353, 935, 74, 805 Calculator

Given Input numbers are 353, 935, 74, 805

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

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Greatest Common Divisior

We found the divisors of 353, 935, 74, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 935, 74, 805 is 1.

Therefore, GCD of numbers 353, 935, 74, 805 is 1

Given Input Data is 353, 935, 74, 805

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

Prime Factorization of 353 is 353

Prime Factorization of 935 is 5 x 11 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 805 is 5 x 7 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(353, 935) = 330055

GCD(353, 935) = ( 353 x 935 ) / 330055

GCD(353, 935) = 330055 / 330055

GCD(353, 935) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 805

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

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

GCD(1, 805) = 805 / 805

GCD(1, 805) = 1

GCD of 353, 935, 74, 805 is 1

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1. What is the GCD of 353, 935, 74, 805?

GCD of 353, 935, 74, 805 is 1

2. Where do I get the detailed procedure to find GCD of 353, 935, 74, 805?

You can find a detailed procedure to find GCD of 353, 935, 74, 805 on our page.

3. How to find GCD of 353, 935, 74, 805 on a calculator?

You can find the GCD of 353, 935, 74, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.