GCD of 114, 297, 667 Calculator

Given Input numbers are 114, 297, 667

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 114, 297, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 297, 667 is 1.

Therefore, GCD of numbers 114, 297, 667 is 1

Given Input Data is 114, 297, 667

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 667 is 23 x 29

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(114, 297) = 11286

GCD(114, 297) = ( 114 x 297 ) / 11286

GCD(114, 297) = 33858 / 11286

GCD(114, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 667

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

LCM(3, 667) = 2001

GCD(3, 667) = ( 3 x 667 ) / 2001

GCD(3, 667) = 2001 / 2001

GCD(3, 667) = 1

GCD of 114, 297, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 571, 275
• GCD of 116, 268, 256
• GCD of 673, 875, 999
• GCD of 720, 469, 171
• GCD of 173, 724, 856

1. What is the GCD of 114, 297, 667?

GCD of 114, 297, 667 is 1

2. Where do I get the detailed procedure to find GCD of 114, 297, 667?

You can find a detailed procedure to find GCD of 114, 297, 667 on our page.

3. How to find GCD of 114, 297, 667 on a calculator?

You can find the GCD of 114, 297, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.