GCD of 68, 342, 275, 217 Calculator

Given Input numbers are 68, 342, 275, 217

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

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

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 68, 342, 275, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 68, 342, 275, 217 is 1.

Therefore, GCD of numbers 68, 342, 275, 217 is 1

Given Input Data is 68, 342, 275, 217

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

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 342 is 2 x 3 x 3 x 19

Prime Factorization of 275 is 5 x 5 x 11

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(68, 342) = 11628

GCD(68, 342) = ( 68 x 342 ) / 11628

GCD(68, 342) = 23256 / 11628

GCD(68, 342) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 275

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

LCM(2, 275) = 550

GCD(2, 275) = ( 2 x 275 ) / 550

GCD(2, 275) = 550 / 550

GCD(2, 275) = 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 68, 342, 275, 217 is 1

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1. What is the GCD of 68, 342, 275, 217?

GCD of 68, 342, 275, 217 is 1

2. Where do I get the detailed procedure to find GCD of 68, 342, 275, 217?

You can find a detailed procedure to find GCD of 68, 342, 275, 217 on our page.

3. How to find GCD of 68, 342, 275, 217 on a calculator?

You can find the GCD of 68, 342, 275, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.