GCD of 698, 394, 206 Calculator

Given Input numbers are 698, 394, 206

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Greatest Common Divisior

We found the divisors of 698, 394, 206 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 394, 206 is 2.

Therefore, GCD of numbers 698, 394, 206 is 2

Given Input Data is 698, 394, 206

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 394 is 2 x 197

Prime Factorization of 206 is 2 x 103

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, 394) = 137506

GCD(698, 394) = ( 698 x 394 ) / 137506

GCD(698, 394) = 275012 / 137506

GCD(698, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 206

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

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

GCD(2, 206) = 412 / 206

GCD(2, 206) = 2

GCD of 698, 394, 206 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 548, 227, 684
• GCD of 625, 852, 672
• GCD of 383, 229, 796
• GCD of 976, 772, 630
• GCD of 261, 874, 657

1. What is the GCD of 698, 394, 206?

GCD of 698, 394, 206 is 2

2. Where do I get the detailed procedure to find GCD of 698, 394, 206?

You can find a detailed procedure to find GCD of 698, 394, 206 on our page.

3. How to find GCD of 698, 394, 206 on a calculator?

You can find the GCD of 698, 394, 206 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.