GCD of 138, 542, 831, 982 Calculator

Given Input numbers are 138, 542, 831, 982

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 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 138, 542, 831, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 542, 831, 982 is 1.

Therefore, GCD of numbers 138, 542, 831, 982 is 1

Given Input Data is 138, 542, 831, 982

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 542 is 2 x 271

Prime Factorization of 831 is 3 x 277

Prime Factorization of 982 is 2 x 491

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, 542) = 37398

GCD(138, 542) = ( 138 x 542 ) / 37398

GCD(138, 542) = 74796 / 37398

GCD(138, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 831

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

LCM(2, 831) = 1662

GCD(2, 831) = ( 2 x 831 ) / 1662

GCD(2, 831) = 1662 / 1662

GCD(2, 831) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 138, 542, 831, 982 is 1

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1. What is the GCD of 138, 542, 831, 982?

GCD of 138, 542, 831, 982 is 1

2. Where do I get the detailed procedure to find GCD of 138, 542, 831, 982?

You can find a detailed procedure to find GCD of 138, 542, 831, 982 on our page.

3. How to find GCD of 138, 542, 831, 982 on a calculator?

You can find the GCD of 138, 542, 831, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.