GCD of 42, 344, 917, 686 Calculator

Given Input numbers are 42, 344, 917, 686

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

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 344

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

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

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 686

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

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

Greatest Common Divisior

We found the divisors of 42, 344, 917, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 42, 344, 917, 686 is 1.

Therefore, GCD of numbers 42, 344, 917, 686 is 1

Given Input Data is 42, 344, 917, 686

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

Prime Factorization of 42 is 2 x 3 x 7

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

Prime Factorization of 917 is 7 x 131

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

The above numbers do not have any common prime factor. So GCD is 1

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(42, 344) = 7224

GCD(42, 344) = ( 42 x 344 ) / 7224

GCD(42, 344) = 14448 / 7224

GCD(42, 344) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 42, 344, 917, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 919, 624, 842
• GCD of 48, 484, 954, 578
• GCD of 93, 320, 575, 245
• GCD of 17, 307, 293, 579
• GCD of 29, 624, 678, 205

1. What is the GCD of 42, 344, 917, 686?

GCD of 42, 344, 917, 686 is 1

2. Where do I get the detailed procedure to find GCD of 42, 344, 917, 686?

You can find a detailed procedure to find GCD of 42, 344, 917, 686 on our page.

3. How to find GCD of 42, 344, 917, 686 on a calculator?

You can find the GCD of 42, 344, 917, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.