GCD of 138, 831, 698, 684 Calculator

Given Input numbers are 138, 831, 698, 684

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 831

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

1, 3, 277, 831

Divisors of 698

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

1, 2, 349, 698

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 138, 831, 698, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 831, 698, 684 is 1.

Therefore, GCD of numbers 138, 831, 698, 684 is 1

Given Input Data is 138, 831, 698, 684

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 831 is 3 x 277

Prime Factorization of 698 is 2 x 349

Prime Factorization of 684 is 2 x 2 x 3 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, 831) = 38226

GCD(138, 831) = ( 138 x 831 ) / 38226

GCD(138, 831) = 114678 / 38226

GCD(138, 831) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 698

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

LCM(3, 698) = 2094

GCD(3, 698) = ( 3 x 698 ) / 2094

GCD(3, 698) = 2094 / 2094

GCD(3, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 138, 831, 698, 684 is 1

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1. What is the GCD of 138, 831, 698, 684?

GCD of 138, 831, 698, 684 is 1

2. Where do I get the detailed procedure to find GCD of 138, 831, 698, 684?

You can find a detailed procedure to find GCD of 138, 831, 698, 684 on our page.

3. How to find GCD of 138, 831, 698, 684 on a calculator?

You can find the GCD of 138, 831, 698, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.