GCD of 168, 238, 562, 310 Calculator

Given Input numbers are 168, 238, 562, 310

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

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 168, 238, 562, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 238, 562, 310 is 2.

Therefore, GCD of numbers 168, 238, 562, 310 is 2

Given Input Data is 168, 238, 562, 310

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

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 562 is 2 x 281

Prime Factorization of 310 is 2 x 5 x 31

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(168, 238) = 2856

GCD(168, 238) = ( 168 x 238 ) / 2856

GCD(168, 238) = 39984 / 2856

GCD(168, 238) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 562

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

LCM(14, 562) = 3934

GCD(14, 562) = ( 14 x 562 ) / 3934

GCD(14, 562) = 7868 / 3934

GCD(14, 562) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 168, 238, 562, 310 is 2

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• GCD of 267, 751, 434, 978
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1. What is the GCD of 168, 238, 562, 310?

GCD of 168, 238, 562, 310 is 2

2. Where do I get the detailed procedure to find GCD of 168, 238, 562, 310?

You can find a detailed procedure to find GCD of 168, 238, 562, 310 on our page.

3. How to find GCD of 168, 238, 562, 310 on a calculator?

You can find the GCD of 168, 238, 562, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.