GCD of 492, 979, 17, 314 Calculator

Given Input numbers are 492, 979, 17, 314

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Greatest Common Divisior

We found the divisors of 492, 979, 17, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 979, 17, 314 is 1.

Therefore, GCD of numbers 492, 979, 17, 314 is 1

Given Input Data is 492, 979, 17, 314

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 979 is 11 x 89

Prime Factorization of 17 is 17

Prime Factorization of 314 is 2 x 157

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(492, 979) = 481668

GCD(492, 979) = ( 492 x 979 ) / 481668

GCD(492, 979) = 481668 / 481668

GCD(492, 979) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 314

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

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

GCD(1, 314) = 314 / 314

GCD(1, 314) = 1

GCD of 492, 979, 17, 314 is 1

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1. What is the GCD of 492, 979, 17, 314?

GCD of 492, 979, 17, 314 is 1

2. Where do I get the detailed procedure to find GCD of 492, 979, 17, 314?

You can find a detailed procedure to find GCD of 492, 979, 17, 314 on our page.

3. How to find GCD of 492, 979, 17, 314 on a calculator?

You can find the GCD of 492, 979, 17, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.