GCD of 917, 831, 194, 308 Calculator

Given Input numbers are 917, 831, 194, 308

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

Divisors of 917

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

1, 7, 131, 917

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 917, 831, 194, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 917, 831, 194, 308 is 1.

Therefore, GCD of numbers 917, 831, 194, 308 is 1

Given Input Data is 917, 831, 194, 308

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

Prime Factorization of 917 is 7 x 131

Prime Factorization of 831 is 3 x 277

Prime Factorization of 194 is 2 x 97

Prime Factorization of 308 is 2 x 2 x 7 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(917, 831) = 762027

GCD(917, 831) = ( 917 x 831 ) / 762027

GCD(917, 831) = 762027 / 762027

GCD(917, 831) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 194

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

LCM(1, 194) = 194

GCD(1, 194) = ( 1 x 194 ) / 194

GCD(1, 194) = 194 / 194

GCD(1, 194) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

GCD of 917, 831, 194, 308 is 1

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1. What is the GCD of 917, 831, 194, 308?

GCD of 917, 831, 194, 308 is 1

2. Where do I get the detailed procedure to find GCD of 917, 831, 194, 308?

You can find a detailed procedure to find GCD of 917, 831, 194, 308 on our page.

3. How to find GCD of 917, 831, 194, 308 on a calculator?

You can find the GCD of 917, 831, 194, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.