GCD of 134, 298, 16, 495 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 134, 298, 16, 495 i.e. 1 largest integer that divides all the numbers equally.

GCD of 134, 298, 16, 495 is 1

GCD(134, 298, 16, 495) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 134, 298, 16, 495 is 1

GCD(134, 298, 16, 495) = 1

GCD of 134,298,16,495 Calculator

GCDof 134,298,16,495 is 1

Given Input numbers are 134, 298, 16, 495

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

Divisors of 134

List of positive integer divisors of 134 that divides 134 without a remainder.

1, 2, 67, 134

Divisors of 298

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

1, 2, 149, 298

Divisors of 16

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

1, 2, 4, 8, 16

Divisors of 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Greatest Common Divisior

We found the divisors of 134, 298, 16, 495 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 298, 16, 495 is 1.

Therefore, GCD of numbers 134, 298, 16, 495 is 1

Finding GCD of 134, 298, 16, 495 using Prime Factorization

Given Input Data is 134, 298, 16, 495

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

Prime Factorization of 134 is 2 x 67

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 495 is 3 x 3 x 5 x 11

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

Finding GCD of 134, 298, 16, 495 using LCM Formula

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(134, 298) = 19966

GCD(134, 298) = ( 134 x 298 ) / 19966

GCD(134, 298) = 39932 / 19966

GCD(134, 298) = 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 495

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

LCM(2, 495) = 990

GCD(2, 495) = ( 2 x 495 ) / 990

GCD(2, 495) = 990 / 990

GCD(2, 495) = 1

GCD of 134, 298, 16, 495 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 134, 298, 16, 495

1. What is the GCD of 134, 298, 16, 495?

GCD of 134, 298, 16, 495 is 1


2. Where do I get the detailed procedure to find GCD of 134, 298, 16, 495?

You can find a detailed procedure to find GCD of 134, 298, 16, 495 on our page.


3. How to find GCD of 134, 298, 16, 495 on a calculator?

You can find the GCD of 134, 298, 16, 495 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.