GCD of 686, 974, 311 Calculator

Given Input numbers are 686, 974, 311

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

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 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Greatest Common Divisior

We found the divisors of 686, 974, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 974, 311 is 1.

Therefore, GCD of numbers 686, 974, 311 is 1

Given Input Data is 686, 974, 311

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

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 311 is 311

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(686, 974) = 334082

GCD(686, 974) = ( 686 x 974 ) / 334082

GCD(686, 974) = 668164 / 334082

GCD(686, 974) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

GCD of 686, 974, 311 is 1

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1. What is the GCD of 686, 974, 311?

GCD of 686, 974, 311 is 1

2. Where do I get the detailed procedure to find GCD of 686, 974, 311?

You can find a detailed procedure to find GCD of 686, 974, 311 on our page.

3. How to find GCD of 686, 974, 311 on a calculator?

You can find the GCD of 686, 974, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.