GCD of 313, 203, 659, 771 Calculator

Given Input numbers are 313, 203, 659, 771

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 313, 203, 659, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 203, 659, 771 is 1.

Therefore, GCD of numbers 313, 203, 659, 771 is 1

Given Input Data is 313, 203, 659, 771

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

Prime Factorization of 313 is 313

Prime Factorization of 203 is 7 x 29

Prime Factorization of 659 is 659

Prime Factorization of 771 is 3 x 257

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, 203) = 63539

GCD(313, 203) = ( 313 x 203 ) / 63539

GCD(313, 203) = 63539 / 63539

GCD(313, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 1

GCD of 313, 203, 659, 771 is 1

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1. What is the GCD of 313, 203, 659, 771?

GCD of 313, 203, 659, 771 is 1

2. Where do I get the detailed procedure to find GCD of 313, 203, 659, 771?

You can find a detailed procedure to find GCD of 313, 203, 659, 771 on our page.

3. How to find GCD of 313, 203, 659, 771 on a calculator?

You can find the GCD of 313, 203, 659, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.