GCD of 14, 868, 775, 828 Calculator

Given Input numbers are 14, 868, 775, 828

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Greatest Common Divisior

We found the divisors of 14, 868, 775, 828 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 868, 775, 828 is 1.

Therefore, GCD of numbers 14, 868, 775, 828 is 1

Given Input Data is 14, 868, 775, 828

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 868 is 2 x 2 x 7 x 31

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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, 868) = 868

GCD(14, 868) = ( 14 x 868 ) / 868

GCD(14, 868) = 12152 / 868

GCD(14, 868) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 775

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

LCM(14, 775) = 10850

GCD(14, 775) = ( 14 x 775 ) / 10850

GCD(14, 775) = 10850 / 10850

GCD(14, 775) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

GCD of 14, 868, 775, 828 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 624, 133, 910
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• GCD of 65, 126, 755, 630

1. What is the GCD of 14, 868, 775, 828?

GCD of 14, 868, 775, 828 is 1

2. Where do I get the detailed procedure to find GCD of 14, 868, 775, 828?

You can find a detailed procedure to find GCD of 14, 868, 775, 828 on our page.

3. How to find GCD of 14, 868, 775, 828 on a calculator?

You can find the GCD of 14, 868, 775, 828 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.