GCD of 143, 313, 260 Calculator

Given Input numbers are 143, 313, 260

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

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

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

Greatest Common Divisior

We found the divisors of 143, 313, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 313, 260 is 1.

Therefore, GCD of numbers 143, 313, 260 is 1

Given Input Data is 143, 313, 260

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

Prime Factorization of 143 is 11 x 13

Prime Factorization of 313 is 313

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

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(143, 313) = 44759

GCD(143, 313) = ( 143 x 313 ) / 44759

GCD(143, 313) = 44759 / 44759

GCD(143, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 143, 313, 260 is 1

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1. What is the GCD of 143, 313, 260?

GCD of 143, 313, 260 is 1

2. Where do I get the detailed procedure to find GCD of 143, 313, 260?

You can find a detailed procedure to find GCD of 143, 313, 260 on our page.

3. How to find GCD of 143, 313, 260 on a calculator?

You can find the GCD of 143, 313, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.