GCD of 286, 828, 15, 785 Calculator

Given Input numbers are 286, 828, 15, 785

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

Divisors of 286

List of positive integer divisors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

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

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Greatest Common Divisior

We found the divisors of 286, 828, 15, 785 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 828, 15, 785 is 1.

Therefore, GCD of numbers 286, 828, 15, 785 is 1

Given Input Data is 286, 828, 15, 785

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

Prime Factorization of 286 is 2 x 11 x 13

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 785 is 5 x 157

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(286, 828) = 118404

GCD(286, 828) = ( 286 x 828 ) / 118404

GCD(286, 828) = 236808 / 118404

GCD(286, 828) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 15

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

LCM(2, 15) = 30

GCD(2, 15) = ( 2 x 15 ) / 30

GCD(2, 15) = 30 / 30

GCD(2, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 785

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

LCM(1, 785) = 785

GCD(1, 785) = ( 1 x 785 ) / 785

GCD(1, 785) = 785 / 785

GCD(1, 785) = 1

GCD of 286, 828, 15, 785 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 332, 85, 744
• GCD of 157, 276, 42, 448
• GCD of 760, 625, 55, 719
• GCD of 435, 269, 55, 992
• GCD of 738, 176, 27, 906

1. What is the GCD of 286, 828, 15, 785?

GCD of 286, 828, 15, 785 is 1

2. Where do I get the detailed procedure to find GCD of 286, 828, 15, 785?

You can find a detailed procedure to find GCD of 286, 828, 15, 785 on our page.

3. How to find GCD of 286, 828, 15, 785 on a calculator?

You can find the GCD of 286, 828, 15, 785 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.