GCD of 209, 103, 170, 110 Calculator

Given Input numbers are 209, 103, 170, 110

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Greatest Common Divisior

We found the divisors of 209, 103, 170, 110 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 103, 170, 110 is 1.

Therefore, GCD of numbers 209, 103, 170, 110 is 1

Given Input Data is 209, 103, 170, 110

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 103 is 103

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 110 is 2 x 5 x 11

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(209, 103) = 21527

GCD(209, 103) = ( 209 x 103 ) / 21527

GCD(209, 103) = 21527 / 21527

GCD(209, 103) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 170

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

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

GCD(1, 170) = 170 / 170

GCD(1, 170) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 110

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

LCM(1, 110) = 110

GCD(1, 110) = ( 1 x 110 ) / 110

GCD(1, 110) = 110 / 110

GCD(1, 110) = 1

GCD of 209, 103, 170, 110 is 1

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1. What is the GCD of 209, 103, 170, 110?

GCD of 209, 103, 170, 110 is 1

2. Where do I get the detailed procedure to find GCD of 209, 103, 170, 110?

You can find a detailed procedure to find GCD of 209, 103, 170, 110 on our page.

3. How to find GCD of 209, 103, 170, 110 on a calculator?

You can find the GCD of 209, 103, 170, 110 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.