GCD of 260, 375, 814, 363 Calculator

Given Input numbers are 260, 375, 814, 363

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

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 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 814

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

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Greatest Common Divisior

We found the divisors of 260, 375, 814, 363 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 375, 814, 363 is 1.

Therefore, GCD of numbers 260, 375, 814, 363 is 1

Given Input Data is 260, 375, 814, 363

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

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

Prime Factorization of 375 is 3 x 5 x 5 x 5

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 363 is 3 x 11 x 11

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(260, 375) = 19500

GCD(260, 375) = ( 260 x 375 ) / 19500

GCD(260, 375) = 97500 / 19500

GCD(260, 375) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 814

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

LCM(5, 814) = 4070

GCD(5, 814) = ( 5 x 814 ) / 4070

GCD(5, 814) = 4070 / 4070

GCD(5, 814) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 363

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

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

GCD(1, 363) = 363 / 363

GCD(1, 363) = 1

GCD of 260, 375, 814, 363 is 1

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1. What is the GCD of 260, 375, 814, 363?

GCD of 260, 375, 814, 363 is 1

2. Where do I get the detailed procedure to find GCD of 260, 375, 814, 363?

You can find a detailed procedure to find GCD of 260, 375, 814, 363 on our page.

3. How to find GCD of 260, 375, 814, 363 on a calculator?

You can find the GCD of 260, 375, 814, 363 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.