GCD of 168, 490, 792, 178 Calculator

Given Input numbers are 168, 490, 792, 178

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 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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

Greatest Common Divisior

We found the divisors of 168, 490, 792, 178 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 168, 490, 792, 178 is 2.

Therefore, GCD of numbers 168, 490, 792, 178 is 2

Given Input Data is 168, 490, 792, 178

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 490 is 2 x 5 x 7 x 7

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 178 is 2 x 89

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, 490) = 5880

GCD(168, 490) = ( 168 x 490 ) / 5880

GCD(168, 490) = 82320 / 5880

GCD(168, 490) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 792

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

LCM(14, 792) = 5544

GCD(14, 792) = ( 14 x 792 ) / 5544

GCD(14, 792) = 11088 / 5544

GCD(14, 792) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 178

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

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

GCD(2, 178) = 356 / 178

GCD(2, 178) = 2

GCD of 168, 490, 792, 178 is 2

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1. What is the GCD of 168, 490, 792, 178?

GCD of 168, 490, 792, 178 is 2

2. Where do I get the detailed procedure to find GCD of 168, 490, 792, 178?

You can find a detailed procedure to find GCD of 168, 490, 792, 178 on our page.

3. How to find GCD of 168, 490, 792, 178 on a calculator?

You can find the GCD of 168, 490, 792, 178 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.