GCD of 746, 488, 16, 194 Calculator

Given Input numbers are 746, 488, 16, 194

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Greatest Common Divisior

We found the divisors of 746, 488, 16, 194 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 488, 16, 194 is 2.

Therefore, GCD of numbers 746, 488, 16, 194 is 2

Given Input Data is 746, 488, 16, 194

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 194 is 2 x 97

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(746, 488) = 182024

GCD(746, 488) = ( 746 x 488 ) / 182024

GCD(746, 488) = 364048 / 182024

GCD(746, 488) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

GCD of 746, 488, 16, 194 is 2

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1. What is the GCD of 746, 488, 16, 194?

GCD of 746, 488, 16, 194 is 2

2. Where do I get the detailed procedure to find GCD of 746, 488, 16, 194?

You can find a detailed procedure to find GCD of 746, 488, 16, 194 on our page.

3. How to find GCD of 746, 488, 16, 194 on a calculator?

You can find the GCD of 746, 488, 16, 194 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.