GCD of 698, 770, 205 Calculator

Given Input numbers are 698, 770, 205

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 698, 770, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 770, 205 is 1.

Therefore, GCD of numbers 698, 770, 205 is 1

Given Input Data is 698, 770, 205

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 205 is 5 x 41

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(698, 770) = 268730

GCD(698, 770) = ( 698 x 770 ) / 268730

GCD(698, 770) = 537460 / 268730

GCD(698, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

GCD of 698, 770, 205 is 1

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1. What is the GCD of 698, 770, 205?

GCD of 698, 770, 205 is 1

2. Where do I get the detailed procedure to find GCD of 698, 770, 205?

You can find a detailed procedure to find GCD of 698, 770, 205 on our page.

3. How to find GCD of 698, 770, 205 on a calculator?

You can find the GCD of 698, 770, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.