GCD of 655, 683, 42, 917 Calculator

Given Input numbers are 655, 683, 42, 917

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

Divisors of 655

List of positive integer divisors of 655 that divides 655 without a remainder.

1, 5, 131, 655

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

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 917

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

1, 7, 131, 917

Greatest Common Divisior

We found the divisors of 655, 683, 42, 917 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 655, 683, 42, 917 is 1.

Therefore, GCD of numbers 655, 683, 42, 917 is 1

Given Input Data is 655, 683, 42, 917

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

Prime Factorization of 655 is 5 x 131

Prime Factorization of 683 is 683

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 917 is 7 x 131

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(655, 683) = 447365

GCD(655, 683) = ( 655 x 683 ) / 447365

GCD(655, 683) = 447365 / 447365

GCD(655, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 917

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

LCM(1, 917) = 917

GCD(1, 917) = ( 1 x 917 ) / 917

GCD(1, 917) = 917 / 917

GCD(1, 917) = 1

GCD of 655, 683, 42, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 409, 85, 797
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• GCD of 169, 882, 14, 261
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• GCD of 277, 412, 38, 396

1. What is the GCD of 655, 683, 42, 917?

GCD of 655, 683, 42, 917 is 1

2. Where do I get the detailed procedure to find GCD of 655, 683, 42, 917?

You can find a detailed procedure to find GCD of 655, 683, 42, 917 on our page.

3. How to find GCD of 655, 683, 42, 917 on a calculator?

You can find the GCD of 655, 683, 42, 917 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.