GCD of 698, 354, 556 Calculator

Given Input numbers are 698, 354, 556

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

Divisors of 698

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

1, 2, 349, 698

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 556

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

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 698, 354, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 354, 556 is 2.

Therefore, GCD of numbers 698, 354, 556 is 2

Given Input Data is 698, 354, 556

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 556 is 2 x 2 x 139

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(698, 354) = 123546

GCD(698, 354) = ( 698 x 354 ) / 123546

GCD(698, 354) = 247092 / 123546

GCD(698, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

GCD of 698, 354, 556 is 2

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1. What is the GCD of 698, 354, 556?

GCD of 698, 354, 556 is 2

2. Where do I get the detailed procedure to find GCD of 698, 354, 556?

You can find a detailed procedure to find GCD of 698, 354, 556 on our page.

3. How to find GCD of 698, 354, 556 on a calculator?

You can find the GCD of 698, 354, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.