GCD of 318, 591, 98, 698 Calculator

Given Input numbers are 318, 591, 98, 698

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 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 318, 591, 98, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 318, 591, 98, 698 is 1.

Therefore, GCD of numbers 318, 591, 98, 698 is 1

Given Input Data is 318, 591, 98, 698

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 591 is 3 x 197

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 698 is 2 x 349

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, 591) = 62646

GCD(318, 591) = ( 318 x 591 ) / 62646

GCD(318, 591) = 187938 / 62646

GCD(318, 591) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 318, 591, 98, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 184, 12, 791
• GCD of 170, 808, 70, 517
• GCD of 704, 218, 37, 310
• GCD of 752, 162, 48, 938
• GCD of 362, 470, 56, 798

1. What is the GCD of 318, 591, 98, 698?

GCD of 318, 591, 98, 698 is 1

2. Where do I get the detailed procedure to find GCD of 318, 591, 98, 698?

You can find a detailed procedure to find GCD of 318, 591, 98, 698 on our page.

3. How to find GCD of 318, 591, 98, 698 on a calculator?

You can find the GCD of 318, 591, 98, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.