GCD of 138, 217, 84, 114 Calculator

Given Input numbers are 138, 217, 84, 114

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 217

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

1, 7, 31, 217

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 138, 217, 84, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 217, 84, 114 is 1.

Therefore, GCD of numbers 138, 217, 84, 114 is 1

Given Input Data is 138, 217, 84, 114

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 217 is 7 x 31

Prime Factorization of 84 is 2 x 2 x 3 x 7

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(138, 217) = 29946

GCD(138, 217) = ( 138 x 217 ) / 29946

GCD(138, 217) = 29946 / 29946

GCD(138, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 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 138, 217, 84, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 280, 99, 442
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• GCD of 970, 592, 80, 801
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• GCD of 145, 902, 75, 969

1. What is the GCD of 138, 217, 84, 114?

GCD of 138, 217, 84, 114 is 1

2. Where do I get the detailed procedure to find GCD of 138, 217, 84, 114?

You can find a detailed procedure to find GCD of 138, 217, 84, 114 on our page.

3. How to find GCD of 138, 217, 84, 114 on a calculator?

You can find the GCD of 138, 217, 84, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.