GCD of 208, 693, 667 Calculator

Given Input numbers are 208, 693, 667

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

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 667

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

1, 23, 29, 667

Greatest Common Divisior

We found the divisors of 208, 693, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 208, 693, 667 is 1.

Therefore, GCD of numbers 208, 693, 667 is 1

Given Input Data is 208, 693, 667

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

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 667 is 23 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(208, 693) = 144144

GCD(208, 693) = ( 208 x 693 ) / 144144

GCD(208, 693) = 144144 / 144144

GCD(208, 693) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

GCD of 208, 693, 667 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 425, 688
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1. What is the GCD of 208, 693, 667?

GCD of 208, 693, 667 is 1

2. Where do I get the detailed procedure to find GCD of 208, 693, 667?

You can find a detailed procedure to find GCD of 208, 693, 667 on our page.

3. How to find GCD of 208, 693, 667 on a calculator?

You can find the GCD of 208, 693, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.