GCD of 929, 345, 40, 805 Calculator

Given Input numbers are 929, 345, 40, 805

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

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

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 929, 345, 40, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 929, 345, 40, 805 is 1.

Therefore, GCD of numbers 929, 345, 40, 805 is 1

Given Input Data is 929, 345, 40, 805

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

Prime Factorization of 929 is 929

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 40 is 2 x 2 x 2 x 5

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(929, 345) = 320505

GCD(929, 345) = ( 929 x 345 ) / 320505

GCD(929, 345) = 320505 / 320505

GCD(929, 345) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 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 929, 345, 40, 805 is 1

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1. What is the GCD of 929, 345, 40, 805?

GCD of 929, 345, 40, 805 is 1

2. Where do I get the detailed procedure to find GCD of 929, 345, 40, 805?

You can find a detailed procedure to find GCD of 929, 345, 40, 805 on our page.

3. How to find GCD of 929, 345, 40, 805 on a calculator?

You can find the GCD of 929, 345, 40, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.