GCD of 310, 180, 26, 766 Calculator

Given Input numbers are 310, 180, 26, 766

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 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 310, 180, 26, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 180, 26, 766 is 2.

Therefore, GCD of numbers 310, 180, 26, 766 is 2

Given Input Data is 310, 180, 26, 766

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 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 26 is 2 x 13

Prime Factorization of 766 is 2 x 383

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, 180) = 5580

GCD(310, 180) = ( 310 x 180 ) / 5580

GCD(310, 180) = 55800 / 5580

GCD(310, 180) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 26

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

LCM(10, 26) = 130

GCD(10, 26) = ( 10 x 26 ) / 130

GCD(10, 26) = 260 / 130

GCD(10, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 766

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

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

GCD(2, 766) = 1532 / 766

GCD(2, 766) = 2

GCD of 310, 180, 26, 766 is 2

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1. What is the GCD of 310, 180, 26, 766?

GCD of 310, 180, 26, 766 is 2

2. Where do I get the detailed procedure to find GCD of 310, 180, 26, 766?

You can find a detailed procedure to find GCD of 310, 180, 26, 766 on our page.

3. How to find GCD of 310, 180, 26, 766 on a calculator?

You can find the GCD of 310, 180, 26, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.