GCD of 138, 234, 698 Calculator

Given Input numbers are 138, 234, 698

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 234

List of positive integer divisors of 234 that divides 234 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 138, 234, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 234, 698 is 2.

Therefore, GCD of numbers 138, 234, 698 is 2

Given Input Data is 138, 234, 698

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 234 is 2 x 3 x 3 x 13

Prime Factorization of 698 is 2 x 349

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 234) = 5382

GCD(138, 234) = ( 138 x 234 ) / 5382

GCD(138, 234) = 32292 / 5382

GCD(138, 234) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 698

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

LCM(6, 698) = 2094

GCD(6, 698) = ( 6 x 698 ) / 2094

GCD(6, 698) = 4188 / 2094

GCD(6, 698) = 2

GCD of 138, 234, 698 is 2

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1. What is the GCD of 138, 234, 698?

GCD of 138, 234, 698 is 2

2. Where do I get the detailed procedure to find GCD of 138, 234, 698?

You can find a detailed procedure to find GCD of 138, 234, 698 on our page.

3. How to find GCD of 138, 234, 698 on a calculator?

You can find the GCD of 138, 234, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.