GCD of 414, 169, 17, 525 Calculator

Given Input numbers are 414, 169, 17, 525

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 17

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

1, 17

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 414, 169, 17, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 169, 17, 525 is 1.

Therefore, GCD of numbers 414, 169, 17, 525 is 1

Given Input Data is 414, 169, 17, 525

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

Prime Factorization of 169 is 13 x 13

Prime Factorization of 17 is 17

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(414, 169) = 69966

GCD(414, 169) = ( 414 x 169 ) / 69966

GCD(414, 169) = 69966 / 69966

GCD(414, 169) = 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 525

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

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

GCD(1, 525) = 525 / 525

GCD(1, 525) = 1

GCD of 414, 169, 17, 525 is 1

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• GCD of 209, 237, 82, 794
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• GCD of 514, 287, 19, 234

1. What is the GCD of 414, 169, 17, 525?

GCD of 414, 169, 17, 525 is 1

2. Where do I get the detailed procedure to find GCD of 414, 169, 17, 525?

You can find a detailed procedure to find GCD of 414, 169, 17, 525 on our page.

3. How to find GCD of 414, 169, 17, 525 on a calculator?

You can find the GCD of 414, 169, 17, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.