GCD of 114, 192, 68, 490 Calculator

Given Input numbers are 114, 192, 68, 490

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

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 192

List of positive integer divisors of 192 that divides 192 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 114, 192, 68, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 114, 192, 68, 490 is 2.

Therefore, GCD of numbers 114, 192, 68, 490 is 2

Given Input Data is 114, 192, 68, 490

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

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 192 is 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(114, 192) = 3648

GCD(114, 192) = ( 114 x 192 ) / 3648

GCD(114, 192) = 21888 / 3648

GCD(114, 192) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 68

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

LCM(6, 68) = 204

GCD(6, 68) = ( 6 x 68 ) / 204

GCD(6, 68) = 408 / 204

GCD(6, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

GCD of 114, 192, 68, 490 is 2

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• GCD of 668, 107, 14, 679
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• GCD of 340, 844, 99, 613

1. What is the GCD of 114, 192, 68, 490?

GCD of 114, 192, 68, 490 is 2

2. Where do I get the detailed procedure to find GCD of 114, 192, 68, 490?

You can find a detailed procedure to find GCD of 114, 192, 68, 490 on our page.

3. How to find GCD of 114, 192, 68, 490 on a calculator?

You can find the GCD of 114, 192, 68, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.