GCD of 146, 190, 16, 464 Calculator

Given Input numbers are 146, 190, 16, 464

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

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 146, 190, 16, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 146, 190, 16, 464 is 2.

Therefore, GCD of numbers 146, 190, 16, 464 is 2

Given Input Data is 146, 190, 16, 464

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

Prime Factorization of 146 is 2 x 73

Prime Factorization of 190 is 2 x 5 x 19

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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(146, 190) = 13870

GCD(146, 190) = ( 146 x 190 ) / 13870

GCD(146, 190) = 27740 / 13870

GCD(146, 190) = 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 464

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

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

GCD(2, 464) = 928 / 464

GCD(2, 464) = 2

GCD of 146, 190, 16, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 365, 66, 821
• GCD of 620, 136, 93, 182
• GCD of 607, 218, 29, 873
• GCD of 867, 833, 76, 540
• GCD of 313, 705, 90, 234

1. What is the GCD of 146, 190, 16, 464?

GCD of 146, 190, 16, 464 is 2

2. Where do I get the detailed procedure to find GCD of 146, 190, 16, 464?

You can find a detailed procedure to find GCD of 146, 190, 16, 464 on our page.

3. How to find GCD of 146, 190, 16, 464 on a calculator?

You can find the GCD of 146, 190, 16, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.