GCD of 310, 956, 258, 774 Calculator

Given Input numbers are 310, 956, 258, 774

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 310, 956, 258, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 956, 258, 774 is 2.

Therefore, GCD of numbers 310, 956, 258, 774 is 2

Given Input Data is 310, 956, 258, 774

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 774 is 2 x 3 x 3 x 43

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(310, 956) = 148180

GCD(310, 956) = ( 310 x 956 ) / 148180

GCD(310, 956) = 296360 / 148180

GCD(310, 956) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 258

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

LCM(2, 258) = 258

GCD(2, 258) = ( 2 x 258 ) / 258

GCD(2, 258) = 516 / 258

GCD(2, 258) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 774

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

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

GCD(2, 774) = 1548 / 774

GCD(2, 774) = 2

GCD of 310, 956, 258, 774 is 2

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1. What is the GCD of 310, 956, 258, 774?

GCD of 310, 956, 258, 774 is 2

2. Where do I get the detailed procedure to find GCD of 310, 956, 258, 774?

You can find a detailed procedure to find GCD of 310, 956, 258, 774 on our page.

3. How to find GCD of 310, 956, 258, 774 on a calculator?

You can find the GCD of 310, 956, 258, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.