GCD of 170, 119, 52, 229 Calculator

Given Input numbers are 170, 119, 52, 229

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

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 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 170, 119, 52, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 119, 52, 229 is 1.

Therefore, GCD of numbers 170, 119, 52, 229 is 1

Given Input Data is 170, 119, 52, 229

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 119 is 7 x 17

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 229 is 229

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(170, 119) = 1190

GCD(170, 119) = ( 170 x 119 ) / 1190

GCD(170, 119) = 20230 / 1190

GCD(170, 119) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 52

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

LCM(17, 52) = 884

GCD(17, 52) = ( 17 x 52 ) / 884

GCD(17, 52) = 884 / 884

GCD(17, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 170, 119, 52, 229 is 1

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1. What is the GCD of 170, 119, 52, 229?

GCD of 170, 119, 52, 229 is 1

2. Where do I get the detailed procedure to find GCD of 170, 119, 52, 229?

You can find a detailed procedure to find GCD of 170, 119, 52, 229 on our page.

3. How to find GCD of 170, 119, 52, 229 on a calculator?

You can find the GCD of 170, 119, 52, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.