GCD of 138, 710, 842 Calculator

Given Input numbers are 138, 710, 842

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 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 138, 710, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 710, 842 is 2.

Therefore, GCD of numbers 138, 710, 842 is 2

Given Input Data is 138, 710, 842

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 710 is 2 x 5 x 71

Prime Factorization of 842 is 2 x 421

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, 710) = 48990

GCD(138, 710) = ( 138 x 710 ) / 48990

GCD(138, 710) = 97980 / 48990

GCD(138, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 138, 710, 842 is 2

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1. What is the GCD of 138, 710, 842?

GCD of 138, 710, 842 is 2

2. Where do I get the detailed procedure to find GCD of 138, 710, 842?

You can find a detailed procedure to find GCD of 138, 710, 842 on our page.

3. How to find GCD of 138, 710, 842 on a calculator?

You can find the GCD of 138, 710, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.