GCD of 125, 345, 306, 170 Calculator

Given Input numbers are 125, 345, 306, 170

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 170

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

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

Greatest Common Divisior

We found the divisors of 125, 345, 306, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 345, 306, 170 is 1.

Therefore, GCD of numbers 125, 345, 306, 170 is 1

Given Input Data is 125, 345, 306, 170

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 170 is 2 x 5 x 17

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(125, 345) = 8625

GCD(125, 345) = ( 125 x 345 ) / 8625

GCD(125, 345) = 43125 / 8625

GCD(125, 345) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 306

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

LCM(5, 306) = 1530

GCD(5, 306) = ( 5 x 306 ) / 1530

GCD(5, 306) = 1530 / 1530

GCD(5, 306) = 1

Step3:

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

GCD of 125, 345, 306, 170 is 1

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1. What is the GCD of 125, 345, 306, 170?

GCD of 125, 345, 306, 170 is 1

2. Where do I get the detailed procedure to find GCD of 125, 345, 306, 170?

You can find a detailed procedure to find GCD of 125, 345, 306, 170 on our page.

3. How to find GCD of 125, 345, 306, 170 on a calculator?

You can find the GCD of 125, 345, 306, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.