GCD of 359, 706, 17, 279 Calculator

Given Input numbers are 359, 706, 17, 279

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

Divisors of 359

List of positive integer divisors of 359 that divides 359 without a remainder.

1, 359

Divisors of 706

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

1, 2, 353, 706

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 359, 706, 17, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 706, 17, 279 is 1.

Therefore, GCD of numbers 359, 706, 17, 279 is 1

Given Input Data is 359, 706, 17, 279

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

Prime Factorization of 359 is 359

Prime Factorization of 706 is 2 x 353

Prime Factorization of 17 is 17

Prime Factorization of 279 is 3 x 3 x 31

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(359, 706) = 253454

GCD(359, 706) = ( 359 x 706 ) / 253454

GCD(359, 706) = 253454 / 253454

GCD(359, 706) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 359, 706, 17, 279 is 1

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• GCD of 468, 684, 43, 315
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1. What is the GCD of 359, 706, 17, 279?

GCD of 359, 706, 17, 279 is 1

2. Where do I get the detailed procedure to find GCD of 359, 706, 17, 279?

You can find a detailed procedure to find GCD of 359, 706, 17, 279 on our page.

3. How to find GCD of 359, 706, 17, 279 on a calculator?

You can find the GCD of 359, 706, 17, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.