GCD of 249, 529, 861, 138 Calculator

Given Input numbers are 249, 529, 861, 138

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

Divisors of 249

List of positive integer divisors of 249 that divides 249 without a remainder.

1, 3, 83, 249

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 138

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

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

Greatest Common Divisior

We found the divisors of 249, 529, 861, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 249, 529, 861, 138 is 1.

Therefore, GCD of numbers 249, 529, 861, 138 is 1

Given Input Data is 249, 529, 861, 138

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

Prime Factorization of 249 is 3 x 83

Prime Factorization of 529 is 23 x 23

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 138 is 2 x 3 x 23

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(249, 529) = 131721

GCD(249, 529) = ( 249 x 529 ) / 131721

GCD(249, 529) = 131721 / 131721

GCD(249, 529) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 861

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

LCM(1, 861) = 861

GCD(1, 861) = ( 1 x 861 ) / 861

GCD(1, 861) = 861 / 861

GCD(1, 861) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 249, 529, 861, 138 is 1

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1. What is the GCD of 249, 529, 861, 138?

GCD of 249, 529, 861, 138 is 1

2. Where do I get the detailed procedure to find GCD of 249, 529, 861, 138?

You can find a detailed procedure to find GCD of 249, 529, 861, 138 on our page.

3. How to find GCD of 249, 529, 861, 138 on a calculator?

You can find the GCD of 249, 529, 861, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.