GCD of 692, 289, 17, 476 Calculator

Given Input numbers are 692, 289, 17, 476

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 17

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

1, 17

Divisors of 476

List of positive integer divisors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Greatest Common Divisior

We found the divisors of 692, 289, 17, 476 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 692, 289, 17, 476 is 1.

Therefore, GCD of numbers 692, 289, 17, 476 is 1

Given Input Data is 692, 289, 17, 476

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 289 is 17 x 17

Prime Factorization of 17 is 17

Prime Factorization of 476 is 2 x 2 x 7 x 17

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, 289) = 199988

GCD(692, 289) = ( 692 x 289 ) / 199988

GCD(692, 289) = 199988 / 199988

GCD(692, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 476

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

LCM(1, 476) = 476

GCD(1, 476) = ( 1 x 476 ) / 476

GCD(1, 476) = 476 / 476

GCD(1, 476) = 1

GCD of 692, 289, 17, 476 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 498, 87, 500
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• GCD of 724, 664, 76, 480

1. What is the GCD of 692, 289, 17, 476?

GCD of 692, 289, 17, 476 is 1

2. Where do I get the detailed procedure to find GCD of 692, 289, 17, 476?

You can find a detailed procedure to find GCD of 692, 289, 17, 476 on our page.

3. How to find GCD of 692, 289, 17, 476 on a calculator?

You can find the GCD of 692, 289, 17, 476 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.