GCD of 940, 244, 686, 344 Calculator

Given Input numbers are 940, 244, 686, 344

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 244

List of positive integer divisors of 244 that divides 244 without a remainder.

1, 2, 4, 61, 122, 244

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Greatest Common Divisior

We found the divisors of 940, 244, 686, 344 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 244, 686, 344 is 2.

Therefore, GCD of numbers 940, 244, 686, 344 is 2

Given Input Data is 940, 244, 686, 344

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 244 is 2 x 2 x 61

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 344 is 2 x 2 x 2 x 43

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(940, 244) = 57340

GCD(940, 244) = ( 940 x 244 ) / 57340

GCD(940, 244) = 229360 / 57340

GCD(940, 244) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 686

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

LCM(4, 686) = 1372

GCD(4, 686) = ( 4 x 686 ) / 1372

GCD(4, 686) = 2744 / 1372

GCD(4, 686) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 344

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

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

GCD(2, 344) = 688 / 344

GCD(2, 344) = 2

GCD of 940, 244, 686, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 739, 837, 674, 305
• GCD of 266, 693, 258, 136
• GCD of 641, 261, 323, 443
• GCD of 184, 745, 762, 235
• GCD of 154, 153, 870, 980

1. What is the GCD of 940, 244, 686, 344?

GCD of 940, 244, 686, 344 is 2

2. Where do I get the detailed procedure to find GCD of 940, 244, 686, 344?

You can find a detailed procedure to find GCD of 940, 244, 686, 344 on our page.

3. How to find GCD of 940, 244, 686, 344 on a calculator?

You can find the GCD of 940, 244, 686, 344 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.