GCD of 162, 298, 46, 744 Calculator

Given Input numbers are 162, 298, 46, 744

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

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 162, 298, 46, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 298, 46, 744 is 2.

Therefore, GCD of numbers 162, 298, 46, 744 is 2

Given Input Data is 162, 298, 46, 744

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

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 298 is 2 x 149

Prime Factorization of 46 is 2 x 23

Prime Factorization of 744 is 2 x 2 x 2 x 3 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(162, 298) = 24138

GCD(162, 298) = ( 162 x 298 ) / 24138

GCD(162, 298) = 48276 / 24138

GCD(162, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 46

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

LCM(2, 46) = 46

GCD(2, 46) = ( 2 x 46 ) / 46

GCD(2, 46) = 92 / 46

GCD(2, 46) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 744

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

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

GCD(2, 744) = 1488 / 744

GCD(2, 744) = 2

GCD of 162, 298, 46, 744 is 2

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1. What is the GCD of 162, 298, 46, 744?

GCD of 162, 298, 46, 744 is 2

2. Where do I get the detailed procedure to find GCD of 162, 298, 46, 744?

You can find a detailed procedure to find GCD of 162, 298, 46, 744 on our page.

3. How to find GCD of 162, 298, 46, 744 on a calculator?

You can find the GCD of 162, 298, 46, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.