GCD of 556, 359, 698 Calculator

Given Input numbers are 556, 359, 698

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

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 359

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

1, 359

Divisors of 698

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

1, 2, 349, 698

Greatest Common Divisior

We found the divisors of 556, 359, 698 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 556, 359, 698 is 1.

Therefore, GCD of numbers 556, 359, 698 is 1

Given Input Data is 556, 359, 698

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 359 is 359

Prime Factorization of 698 is 2 x 349

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(556, 359) = 199604

GCD(556, 359) = ( 556 x 359 ) / 199604

GCD(556, 359) = 199604 / 199604

GCD(556, 359) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

GCD of 556, 359, 698 is 1

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1. What is the GCD of 556, 359, 698?

GCD of 556, 359, 698 is 1

2. Where do I get the detailed procedure to find GCD of 556, 359, 698?

You can find a detailed procedure to find GCD of 556, 359, 698 on our page.

3. How to find GCD of 556, 359, 698 on a calculator?

You can find the GCD of 556, 359, 698 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.