GCD of 250, 340, 42, 842 Calculator

Given Input numbers are 250, 340, 42, 842

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

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 250, 340, 42, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 250, 340, 42, 842 is 2.

Therefore, GCD of numbers 250, 340, 42, 842 is 2

Given Input Data is 250, 340, 42, 842

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

Prime Factorization of 250 is 2 x 5 x 5 x 5

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 842 is 2 x 421

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(250, 340) = 8500

GCD(250, 340) = ( 250 x 340 ) / 8500

GCD(250, 340) = 85000 / 8500

GCD(250, 340) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 42

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

LCM(10, 42) = 210

GCD(10, 42) = ( 10 x 42 ) / 210

GCD(10, 42) = 420 / 210

GCD(10, 42) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 842

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

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

GCD(2, 842) = 1684 / 842

GCD(2, 842) = 2

GCD of 250, 340, 42, 842 is 2

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1. What is the GCD of 250, 340, 42, 842?

GCD of 250, 340, 42, 842 is 2

2. Where do I get the detailed procedure to find GCD of 250, 340, 42, 842?

You can find a detailed procedure to find GCD of 250, 340, 42, 842 on our page.

3. How to find GCD of 250, 340, 42, 842 on a calculator?

You can find the GCD of 250, 340, 42, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.