GCD of 190, 465, 496 Calculator

Given Input numbers are 190, 465, 496

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

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 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 496

List of positive integer divisors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Greatest Common Divisior

We found the divisors of 190, 465, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 465, 496 is 1.

Therefore, GCD of numbers 190, 465, 496 is 1

Given Input Data is 190, 465, 496

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31

The above numbers do not have any common prime factor. So GCD is 1

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(190, 465) = 17670

GCD(190, 465) = ( 190 x 465 ) / 17670

GCD(190, 465) = 88350 / 17670

GCD(190, 465) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 496

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

LCM(5, 496) = 2480

GCD(5, 496) = ( 5 x 496 ) / 2480

GCD(5, 496) = 2480 / 2480

GCD(5, 496) = 1

GCD of 190, 465, 496 is 1

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1. What is the GCD of 190, 465, 496?

GCD of 190, 465, 496 is 1

2. Where do I get the detailed procedure to find GCD of 190, 465, 496?

You can find a detailed procedure to find GCD of 190, 465, 496 on our page.

3. How to find GCD of 190, 465, 496 on a calculator?

You can find the GCD of 190, 465, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.