GCD of 468, 175, 14, 217 Calculator

Given Input numbers are 468, 175, 14, 217

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

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 468, 175, 14, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 175, 14, 217 is 1.

Therefore, GCD of numbers 468, 175, 14, 217 is 1

Given Input Data is 468, 175, 14, 217

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

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 14 is 2 x 7

Prime Factorization of 217 is 7 x 31

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(468, 175) = 81900

GCD(468, 175) = ( 468 x 175 ) / 81900

GCD(468, 175) = 81900 / 81900

GCD(468, 175) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 217

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

LCM(1, 217) = 217

GCD(1, 217) = ( 1 x 217 ) / 217

GCD(1, 217) = 217 / 217

GCD(1, 217) = 1

GCD of 468, 175, 14, 217 is 1

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• GCD of 308, 916, 73, 528
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1. What is the GCD of 468, 175, 14, 217?

GCD of 468, 175, 14, 217 is 1

2. Where do I get the detailed procedure to find GCD of 468, 175, 14, 217?

You can find a detailed procedure to find GCD of 468, 175, 14, 217 on our page.

3. How to find GCD of 468, 175, 14, 217 on a calculator?

You can find the GCD of 468, 175, 14, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.