GCD of 17, 814, 426, 762 Calculator

Given Input numbers are 17, 814, 426, 762

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 426

List of positive integer divisors of 426 that divides 426 without a remainder.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 17, 814, 426, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 814, 426, 762 is 1.

Therefore, GCD of numbers 17, 814, 426, 762 is 1

Given Input Data is 17, 814, 426, 762

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

Prime Factorization of 17 is 17

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 426 is 2 x 3 x 71

Prime Factorization of 762 is 2 x 3 x 127

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(17, 814) = 13838

GCD(17, 814) = ( 17 x 814 ) / 13838

GCD(17, 814) = 13838 / 13838

GCD(17, 814) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 426

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

LCM(1, 426) = 426

GCD(1, 426) = ( 1 x 426 ) / 426

GCD(1, 426) = 426 / 426

GCD(1, 426) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 17, 814, 426, 762 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 32, 167, 865, 346
• GCD of 94, 714, 122, 198
• GCD of 79, 820, 357, 319
• GCD of 52, 495, 746, 896
• GCD of 91, 697, 575, 365

1. What is the GCD of 17, 814, 426, 762?

GCD of 17, 814, 426, 762 is 1

2. Where do I get the detailed procedure to find GCD of 17, 814, 426, 762?

You can find a detailed procedure to find GCD of 17, 814, 426, 762 on our page.

3. How to find GCD of 17, 814, 426, 762 on a calculator?

You can find the GCD of 17, 814, 426, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.