GCD of 950, 794, 14, 842 Calculator

Given Input numbers are 950, 794, 14, 842

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

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

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 950, 794, 14, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 794, 14, 842 is 2.

Therefore, GCD of numbers 950, 794, 14, 842 is 2

Given Input Data is 950, 794, 14, 842

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

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 794 is 2 x 397

Prime Factorization of 14 is 2 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(950, 794) = 377150

GCD(950, 794) = ( 950 x 794 ) / 377150

GCD(950, 794) = 754300 / 377150

GCD(950, 794) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 14

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

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

GCD(2, 14) = 28 / 14

GCD(2, 14) = 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 950, 794, 14, 842 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 634, 41, 671
• GCD of 576, 576, 40, 973
• GCD of 619, 776, 52, 595
• GCD of 349, 540, 50, 201
• GCD of 697, 159, 19, 139

1. What is the GCD of 950, 794, 14, 842?

GCD of 950, 794, 14, 842 is 2

2. Where do I get the detailed procedure to find GCD of 950, 794, 14, 842?

You can find a detailed procedure to find GCD of 950, 794, 14, 842 on our page.

3. How to find GCD of 950, 794, 14, 842 on a calculator?

You can find the GCD of 950, 794, 14, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.