GCD of 920, 260, 805, 348 Calculator

Given Input numbers are 920, 260, 805, 348

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

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 805

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

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

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

Greatest Common Divisior

We found the divisors of 920, 260, 805, 348 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 260, 805, 348 is 1.

Therefore, GCD of numbers 920, 260, 805, 348 is 1

Given Input Data is 920, 260, 805, 348

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

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 805 is 5 x 7 x 23

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

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(920, 260) = 11960

GCD(920, 260) = ( 920 x 260 ) / 11960

GCD(920, 260) = 239200 / 11960

GCD(920, 260) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 805

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

LCM(20, 805) = 3220

GCD(20, 805) = ( 20 x 805 ) / 3220

GCD(20, 805) = 16100 / 3220

GCD(20, 805) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 348

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

LCM(5, 348) = 1740

GCD(5, 348) = ( 5 x 348 ) / 1740

GCD(5, 348) = 1740 / 1740

GCD(5, 348) = 1

GCD of 920, 260, 805, 348 is 1

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1. What is the GCD of 920, 260, 805, 348?

GCD of 920, 260, 805, 348 is 1

2. Where do I get the detailed procedure to find GCD of 920, 260, 805, 348?

You can find a detailed procedure to find GCD of 920, 260, 805, 348 on our page.

3. How to find GCD of 920, 260, 805, 348 on a calculator?

You can find the GCD of 920, 260, 805, 348 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.