GCD of 14, 300, 891, 767 Calculator

Given Input numbers are 14, 300, 891, 767

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Greatest Common Divisior

We found the divisors of 14, 300, 891, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 300, 891, 767 is 1.

Therefore, GCD of numbers 14, 300, 891, 767 is 1

Given Input Data is 14, 300, 891, 767

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

Prime Factorization of 14 is 2 x 7

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

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

Prime Factorization of 767 is 13 x 59

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(14, 300) = 2100

GCD(14, 300) = ( 14 x 300 ) / 2100

GCD(14, 300) = 4200 / 2100

GCD(14, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 767

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

LCM(1, 767) = 767

GCD(1, 767) = ( 1 x 767 ) / 767

GCD(1, 767) = 767 / 767

GCD(1, 767) = 1

GCD of 14, 300, 891, 767 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 320, 923, 348
• GCD of 31, 761, 380, 274
• GCD of 57, 395, 531, 393
• GCD of 62, 363, 341, 112
• GCD of 56, 737, 680, 907

1. What is the GCD of 14, 300, 891, 767?

GCD of 14, 300, 891, 767 is 1

2. Where do I get the detailed procedure to find GCD of 14, 300, 891, 767?

You can find a detailed procedure to find GCD of 14, 300, 891, 767 on our page.

3. How to find GCD of 14, 300, 891, 767 on a calculator?

You can find the GCD of 14, 300, 891, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.