GCD of 313, 134, 899, 260 Calculator

Given Input numbers are 313, 134, 899, 260

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

Divisors of 313

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

1, 313

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 313, 134, 899, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 134, 899, 260 is 1.

Therefore, GCD of numbers 313, 134, 899, 260 is 1

Given Input Data is 313, 134, 899, 260

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

Prime Factorization of 313 is 313

Prime Factorization of 134 is 2 x 67

Prime Factorization of 899 is 29 x 31

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(313, 134) = 41942

GCD(313, 134) = ( 313 x 134 ) / 41942

GCD(313, 134) = 41942 / 41942

GCD(313, 134) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 899

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

LCM(1, 899) = 899

GCD(1, 899) = ( 1 x 899 ) / 899

GCD(1, 899) = 899 / 899

GCD(1, 899) = 1

Step3:

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 313, 134, 899, 260 is 1

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1. What is the GCD of 313, 134, 899, 260?

GCD of 313, 134, 899, 260 is 1

2. Where do I get the detailed procedure to find GCD of 313, 134, 899, 260?

You can find a detailed procedure to find GCD of 313, 134, 899, 260 on our page.

3. How to find GCD of 313, 134, 899, 260 on a calculator?

You can find the GCD of 313, 134, 899, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.