GCD of 681, 657, 998, 311 Calculator

Given Input numbers are 681, 657, 998, 311

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

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

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 681, 657, 998, 311 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 681, 657, 998, 311 is 1.

Therefore, GCD of numbers 681, 657, 998, 311 is 1

Given Input Data is 681, 657, 998, 311

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

Prime Factorization of 681 is 3 x 227

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 998 is 2 x 499

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(681, 657) = 149139

GCD(681, 657) = ( 681 x 657 ) / 149139

GCD(681, 657) = 447417 / 149139

GCD(681, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 998

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

LCM(3, 998) = 2994

GCD(3, 998) = ( 3 x 998 ) / 2994

GCD(3, 998) = 2994 / 2994

GCD(3, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 311

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

LCM(1, 311) = 311

GCD(1, 311) = ( 1 x 311 ) / 311

GCD(1, 311) = 311 / 311

GCD(1, 311) = 1

GCD of 681, 657, 998, 311 is 1

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• GCD of 969, 402, 142, 436
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1. What is the GCD of 681, 657, 998, 311?

GCD of 681, 657, 998, 311 is 1

2. Where do I get the detailed procedure to find GCD of 681, 657, 998, 311?

You can find a detailed procedure to find GCD of 681, 657, 998, 311 on our page.

3. How to find GCD of 681, 657, 998, 311 on a calculator?

You can find the GCD of 681, 657, 998, 311 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.