GCD of 698, 667, 11, 396 Calculator

Given Input numbers are 698, 667, 11, 396

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 698, 667, 11, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 667, 11, 396 is 1.

Therefore, GCD of numbers 698, 667, 11, 396 is 1

Given Input Data is 698, 667, 11, 396

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 667 is 23 x 29

Prime Factorization of 11 is 11

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(698, 667) = 465566

GCD(698, 667) = ( 698 x 667 ) / 465566

GCD(698, 667) = 465566 / 465566

GCD(698, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 11

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

LCM(1, 11) = 11

GCD(1, 11) = ( 1 x 11 ) / 11

GCD(1, 11) = 11 / 11

GCD(1, 11) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 698, 667, 11, 396 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 799, 57, 955
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1. What is the GCD of 698, 667, 11, 396?

GCD of 698, 667, 11, 396 is 1

2. Where do I get the detailed procedure to find GCD of 698, 667, 11, 396?

You can find a detailed procedure to find GCD of 698, 667, 11, 396 on our page.

3. How to find GCD of 698, 667, 11, 396 on a calculator?

You can find the GCD of 698, 667, 11, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.