GCD of 930, 686, 917, 297 Calculator

Given Input numbers are 930, 686, 917, 297

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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 917

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

1, 7, 131, 917

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 930, 686, 917, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 686, 917, 297 is 1.

Therefore, GCD of numbers 930, 686, 917, 297 is 1

Given Input Data is 930, 686, 917, 297

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 297 is 3 x 3 x 3 x 11

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(930, 686) = 318990

GCD(930, 686) = ( 930 x 686 ) / 318990

GCD(930, 686) = 637980 / 318990

GCD(930, 686) = 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 297

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

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

GCD(1, 297) = 297 / 297

GCD(1, 297) = 1

GCD of 930, 686, 917, 297 is 1

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1. What is the GCD of 930, 686, 917, 297?

GCD of 930, 686, 917, 297 is 1

2. Where do I get the detailed procedure to find GCD of 930, 686, 917, 297?

You can find a detailed procedure to find GCD of 930, 686, 917, 297 on our page.

3. How to find GCD of 930, 686, 917, 297 on a calculator?

You can find the GCD of 930, 686, 917, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.