GCD of 306, 170, 292, 142 Calculator

Given Input numbers are 306, 170, 292, 142

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

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

Divisors of 292

List of positive integer divisors of 292 that divides 292 without a remainder.

1, 2, 4, 73, 146, 292

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 306, 170, 292, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 170, 292, 142 is 2.

Therefore, GCD of numbers 306, 170, 292, 142 is 2

Given Input Data is 306, 170, 292, 142

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

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 292 is 2 x 2 x 73

Prime Factorization of 142 is 2 x 71

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(306, 170) = 1530

GCD(306, 170) = ( 306 x 170 ) / 1530

GCD(306, 170) = 52020 / 1530

GCD(306, 170) = 34

Step2:

Here we consider the GCD from the above i.e. 34 as first number and the next as 292

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

LCM(34, 292) = 4964

GCD(34, 292) = ( 34 x 292 ) / 4964

GCD(34, 292) = 9928 / 4964

GCD(34, 292) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 142

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

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

GCD(2, 142) = 284 / 142

GCD(2, 142) = 2

GCD of 306, 170, 292, 142 is 2

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1. What is the GCD of 306, 170, 292, 142?

GCD of 306, 170, 292, 142 is 2

2. Where do I get the detailed procedure to find GCD of 306, 170, 292, 142?

You can find a detailed procedure to find GCD of 306, 170, 292, 142 on our page.

3. How to find GCD of 306, 170, 292, 142 on a calculator?

You can find the GCD of 306, 170, 292, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.