GCD of 680, 100, 838 Calculator

Given Input numbers are 680, 100, 838

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Greatest Common Divisior

We found the divisors of 680, 100, 838 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 100, 838 is 2.

Therefore, GCD of numbers 680, 100, 838 is 2

Given Input Data is 680, 100, 838

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 838 is 2 x 419

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(680, 100) = 3400

GCD(680, 100) = ( 680 x 100 ) / 3400

GCD(680, 100) = 68000 / 3400

GCD(680, 100) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 838

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

LCM(20, 838) = 8380

GCD(20, 838) = ( 20 x 838 ) / 8380

GCD(20, 838) = 16760 / 8380

GCD(20, 838) = 2

GCD of 680, 100, 838 is 2

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1. What is the GCD of 680, 100, 838?

GCD of 680, 100, 838 is 2

2. Where do I get the detailed procedure to find GCD of 680, 100, 838?

You can find a detailed procedure to find GCD of 680, 100, 838 on our page.

3. How to find GCD of 680, 100, 838 on a calculator?

You can find the GCD of 680, 100, 838 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.