GCD of 17, 701, 274, 484 Calculator

Given Input numbers are 17, 701, 274, 484

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 701

List of positive integer divisors of 701 that divides 701 without a remainder.

1, 701

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Greatest Common Divisior

We found the divisors of 17, 701, 274, 484 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 701, 274, 484 is 1.

Therefore, GCD of numbers 17, 701, 274, 484 is 1

Given Input Data is 17, 701, 274, 484

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

Prime Factorization of 17 is 17

Prime Factorization of 701 is 701

Prime Factorization of 274 is 2 x 137

Prime Factorization of 484 is 2 x 2 x 11 x 11

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, 701) = 11917

GCD(17, 701) = ( 17 x 701 ) / 11917

GCD(17, 701) = 11917 / 11917

GCD(17, 701) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 1

GCD of 17, 701, 274, 484 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 83, 983, 410, 129
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• GCD of 85, 728, 571, 741

1. What is the GCD of 17, 701, 274, 484?

GCD of 17, 701, 274, 484 is 1

2. Where do I get the detailed procedure to find GCD of 17, 701, 274, 484?

You can find a detailed procedure to find GCD of 17, 701, 274, 484 on our page.

3. How to find GCD of 17, 701, 274, 484 on a calculator?

You can find the GCD of 17, 701, 274, 484 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.