GCD of 318, 289, 697, 986 Calculator

Given Input numbers are 318, 289, 697, 986

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

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Greatest Common Divisior

We found the divisors of 318, 289, 697, 986 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 289, 697, 986 is 1.

Therefore, GCD of numbers 318, 289, 697, 986 is 1

Given Input Data is 318, 289, 697, 986

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

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 289 is 17 x 17

Prime Factorization of 697 is 17 x 41

Prime Factorization of 986 is 2 x 17 x 29

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(318, 289) = 91902

GCD(318, 289) = ( 318 x 289 ) / 91902

GCD(318, 289) = 91902 / 91902

GCD(318, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 986

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

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

GCD(1, 986) = 986 / 986

GCD(1, 986) = 1

GCD of 318, 289, 697, 986 is 1

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1. What is the GCD of 318, 289, 697, 986?

GCD of 318, 289, 697, 986 is 1

2. Where do I get the detailed procedure to find GCD of 318, 289, 697, 986?

You can find a detailed procedure to find GCD of 318, 289, 697, 986 on our page.

3. How to find GCD of 318, 289, 697, 986 on a calculator?

You can find the GCD of 318, 289, 697, 986 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.