GCD of 26, 300, 386, 730 Calculator

Given Input numbers are 26, 300, 386, 730

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

Divisors of 26

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

1, 2, 13, 26

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 386

List of positive integer divisors of 386 that divides 386 without a remainder.

1, 2, 193, 386

Divisors of 730

List of positive integer divisors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Greatest Common Divisior

We found the divisors of 26, 300, 386, 730 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 26, 300, 386, 730 is 2.

Therefore, GCD of numbers 26, 300, 386, 730 is 2

Given Input Data is 26, 300, 386, 730

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 386 is 2 x 193

Prime Factorization of 730 is 2 x 5 x 73

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(26, 300) = 3900

GCD(26, 300) = ( 26 x 300 ) / 3900

GCD(26, 300) = 7800 / 3900

GCD(26, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 386

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

LCM(2, 386) = 386

GCD(2, 386) = ( 2 x 386 ) / 386

GCD(2, 386) = 772 / 386

GCD(2, 386) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 730

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

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

GCD(2, 730) = 1460 / 730

GCD(2, 730) = 2

GCD of 26, 300, 386, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 365, 555, 207
• GCD of 56, 251, 180, 355
• GCD of 81, 833, 703, 534
• GCD of 42, 181, 205, 859
• GCD of 23, 301, 286, 143

1. What is the GCD of 26, 300, 386, 730?

GCD of 26, 300, 386, 730 is 2

2. Where do I get the detailed procedure to find GCD of 26, 300, 386, 730?

You can find a detailed procedure to find GCD of 26, 300, 386, 730 on our page.

3. How to find GCD of 26, 300, 386, 730 on a calculator?

You can find the GCD of 26, 300, 386, 730 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.