GCD of 782, 138, 800 Calculator

Given Input numbers are 782, 138, 800

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 782, 138, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 138, 800 is 2.

Therefore, GCD of numbers 782, 138, 800 is 2

Given Input Data is 782, 138, 800

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(782, 138) = 2346

GCD(782, 138) = ( 782 x 138 ) / 2346

GCD(782, 138) = 107916 / 2346

GCD(782, 138) = 46

Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 800

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

LCM(46, 800) = 18400

GCD(46, 800) = ( 46 x 800 ) / 18400

GCD(46, 800) = 36800 / 18400

GCD(46, 800) = 2

GCD of 782, 138, 800 is 2

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1. What is the GCD of 782, 138, 800?

GCD of 782, 138, 800 is 2

2. Where do I get the detailed procedure to find GCD of 782, 138, 800?

You can find a detailed procedure to find GCD of 782, 138, 800 on our page.

3. How to find GCD of 782, 138, 800 on a calculator?

You can find the GCD of 782, 138, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.