GCD of 138, 650, 847 Calculator

Given Input numbers are 138, 650, 847

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 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 847

List of positive integer divisors of 847 that divides 847 without a remainder.

1, 7, 11, 77, 121, 847

Greatest Common Divisior

We found the divisors of 138, 650, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 650, 847 is 1.

Therefore, GCD of numbers 138, 650, 847 is 1

Given Input Data is 138, 650, 847

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 650 is 2 x 5 x 5 x 13

Prime Factorization of 847 is 7 x 11 x 11

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, 650) = 44850

GCD(138, 650) = ( 138 x 650 ) / 44850

GCD(138, 650) = 89700 / 44850

GCD(138, 650) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 847

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

LCM(2, 847) = 1694

GCD(2, 847) = ( 2 x 847 ) / 1694

GCD(2, 847) = 1694 / 1694

GCD(2, 847) = 1

GCD of 138, 650, 847 is 1

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1. What is the GCD of 138, 650, 847?

GCD of 138, 650, 847 is 1

2. Where do I get the detailed procedure to find GCD of 138, 650, 847?

You can find a detailed procedure to find GCD of 138, 650, 847 on our page.

3. How to find GCD of 138, 650, 847 on a calculator?

You can find the GCD of 138, 650, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.