GCD of 712, 914, 15, 808 Calculator

Given Input numbers are 712, 914, 15, 808

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

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 15

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

1, 3, 5, 15

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Greatest Common Divisior

We found the divisors of 712, 914, 15, 808 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 712, 914, 15, 808 is 1.

Therefore, GCD of numbers 712, 914, 15, 808 is 1

Given Input Data is 712, 914, 15, 808

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

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 914 is 2 x 457

Prime Factorization of 15 is 3 x 5

Prime Factorization of 808 is 2 x 2 x 2 x 101

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(712, 914) = 325384

GCD(712, 914) = ( 712 x 914 ) / 325384

GCD(712, 914) = 650768 / 325384

GCD(712, 914) = 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 808

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

LCM(1, 808) = 808

GCD(1, 808) = ( 1 x 808 ) / 808

GCD(1, 808) = 808 / 808

GCD(1, 808) = 1

GCD of 712, 914, 15, 808 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 512, 19, 710
• GCD of 157, 199, 22, 458
• GCD of 787, 625, 67, 276
• GCD of 533, 785, 71, 745
• GCD of 346, 774, 84, 969

1. What is the GCD of 712, 914, 15, 808?

GCD of 712, 914, 15, 808 is 1

2. Where do I get the detailed procedure to find GCD of 712, 914, 15, 808?

You can find a detailed procedure to find GCD of 712, 914, 15, 808 on our page.

3. How to find GCD of 712, 914, 15, 808 on a calculator?

You can find the GCD of 712, 914, 15, 808 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.