GCD of 692, 814, 36, 171 Calculator

Given Input numbers are 692, 814, 36, 171

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

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

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 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 692, 814, 36, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 814, 36, 171 is 1.

Therefore, GCD of numbers 692, 814, 36, 171 is 1

Given Input Data is 692, 814, 36, 171

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

Prime Factorization of 692 is 2 x 2 x 173

Prime Factorization of 814 is 2 x 11 x 37

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 171 is 3 x 3 x 19

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(692, 814) = 281644

GCD(692, 814) = ( 692 x 814 ) / 281644

GCD(692, 814) = 563288 / 281644

GCD(692, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

GCD of 692, 814, 36, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 464, 10, 410
• GCD of 963, 470, 77, 358
• GCD of 407, 221, 24, 655
• GCD of 439, 670, 84, 231
• GCD of 554, 806, 69, 719

1. What is the GCD of 692, 814, 36, 171?

GCD of 692, 814, 36, 171 is 1

2. Where do I get the detailed procedure to find GCD of 692, 814, 36, 171?

You can find a detailed procedure to find GCD of 692, 814, 36, 171 on our page.

3. How to find GCD of 692, 814, 36, 171 on a calculator?

You can find the GCD of 692, 814, 36, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.