GCD of 358, 679, 706 Calculator

Given Input numbers are 358, 679, 706

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 679

List of positive integer divisors of 679 that divides 679 without a remainder.

1, 7, 97, 679

Divisors of 706

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

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 358, 679, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 679, 706 is 1.

Therefore, GCD of numbers 358, 679, 706 is 1

Given Input Data is 358, 679, 706

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 679 is 7 x 97

Prime Factorization of 706 is 2 x 353

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(358, 679) = 243082

GCD(358, 679) = ( 358 x 679 ) / 243082

GCD(358, 679) = 243082 / 243082

GCD(358, 679) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 358, 679, 706 is 1

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1. What is the GCD of 358, 679, 706?

GCD of 358, 679, 706 is 1

2. Where do I get the detailed procedure to find GCD of 358, 679, 706?

You can find a detailed procedure to find GCD of 358, 679, 706 on our page.

3. How to find GCD of 358, 679, 706 on a calculator?

You can find the GCD of 358, 679, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.