GCD of 38, 667, 207, 114 Calculator

Given Input numbers are 38, 667, 207, 114

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 667

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

1, 23, 29, 667

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Divisors of 114

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

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

Greatest Common Divisior

We found the divisors of 38, 667, 207, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 667, 207, 114 is 1.

Therefore, GCD of numbers 38, 667, 207, 114 is 1

Given Input Data is 38, 667, 207, 114

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 667 is 23 x 29

Prime Factorization of 207 is 3 x 3 x 23

Prime Factorization of 114 is 2 x 3 x 19

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(38, 667) = 25346

GCD(38, 667) = ( 38 x 667 ) / 25346

GCD(38, 667) = 25346 / 25346

GCD(38, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 38, 667, 207, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 37, 431, 785, 778
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• GCD of 19, 196, 131, 774

1. What is the GCD of 38, 667, 207, 114?

GCD of 38, 667, 207, 114 is 1

2. Where do I get the detailed procedure to find GCD of 38, 667, 207, 114?

You can find a detailed procedure to find GCD of 38, 667, 207, 114 on our page.

3. How to find GCD of 38, 667, 207, 114 on a calculator?

You can find the GCD of 38, 667, 207, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.