GCD of 348, 332, 568, 805 Calculator

Given Input numbers are 348, 332, 568, 805

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 568

List of positive integer divisors of 568 that divides 568 without a remainder.

1, 2, 4, 8, 71, 142, 284, 568

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 348, 332, 568, 805 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 332, 568, 805 is 1.

Therefore, GCD of numbers 348, 332, 568, 805 is 1

Given Input Data is 348, 332, 568, 805

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 568 is 2 x 2 x 2 x 71

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(348, 332) = 28884

GCD(348, 332) = ( 348 x 332 ) / 28884

GCD(348, 332) = 115536 / 28884

GCD(348, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 568

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

LCM(4, 568) = 568

GCD(4, 568) = ( 4 x 568 ) / 568

GCD(4, 568) = 2272 / 568

GCD(4, 568) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 805

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

LCM(4, 805) = 3220

GCD(4, 805) = ( 4 x 805 ) / 3220

GCD(4, 805) = 3220 / 3220

GCD(4, 805) = 1

GCD of 348, 332, 568, 805 is 1

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1. What is the GCD of 348, 332, 568, 805?

GCD of 348, 332, 568, 805 is 1

2. Where do I get the detailed procedure to find GCD of 348, 332, 568, 805?

You can find a detailed procedure to find GCD of 348, 332, 568, 805 on our page.

3. How to find GCD of 348, 332, 568, 805 on a calculator?

You can find the GCD of 348, 332, 568, 805 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.