GCD of 706, 608, 694, 903 Calculator

Given Input numbers are 706, 608, 694, 903

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

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 903

List of positive integer divisors of 903 that divides 903 without a remainder.

1, 3, 7, 21, 43, 129, 301, 903

Greatest Common Divisior

We found the divisors of 706, 608, 694, 903 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 608, 694, 903 is 1.

Therefore, GCD of numbers 706, 608, 694, 903 is 1

Given Input Data is 706, 608, 694, 903

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 694 is 2 x 347

Prime Factorization of 903 is 3 x 7 x 43

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(706, 608) = 214624

GCD(706, 608) = ( 706 x 608 ) / 214624

GCD(706, 608) = 429248 / 214624

GCD(706, 608) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 903

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

LCM(2, 903) = 1806

GCD(2, 903) = ( 2 x 903 ) / 1806

GCD(2, 903) = 1806 / 1806

GCD(2, 903) = 1

GCD of 706, 608, 694, 903 is 1

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1. What is the GCD of 706, 608, 694, 903?

GCD of 706, 608, 694, 903 is 1

2. Where do I get the detailed procedure to find GCD of 706, 608, 694, 903?

You can find a detailed procedure to find GCD of 706, 608, 694, 903 on our page.

3. How to find GCD of 706, 608, 694, 903 on a calculator?

You can find the GCD of 706, 608, 694, 903 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.