GCD of 492, 482, 309, 677 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 492, 482, 309, 677 i.e. 1 largest integer that divides all the numbers equally.

GCD of 492, 482, 309, 677 is 1

GCD(492, 482, 309, 677) = 1

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

GCD of

GCD of numbers 492, 482, 309, 677 is 1

GCD(492, 482, 309, 677) = 1

GCD of 492,482,309,677 Calculator

GCDof 492,482,309,677 is 1

Given Input numbers are 492, 482, 309, 677

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

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 309

List of positive integer divisors of 309 that divides 309 without a remainder.

1, 3, 103, 309

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Greatest Common Divisior

We found the divisors of 492, 482, 309, 677 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 492, 482, 309, 677 is 1.

Therefore, GCD of numbers 492, 482, 309, 677 is 1

Finding GCD of 492, 482, 309, 677 using Prime Factorization

Given Input Data is 492, 482, 309, 677

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

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 482 is 2 x 241

Prime Factorization of 309 is 3 x 103

Prime Factorization of 677 is 677

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

Finding GCD of 492, 482, 309, 677 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(492, 482) = 118572

GCD(492, 482) = ( 492 x 482 ) / 118572

GCD(492, 482) = 237144 / 118572

GCD(492, 482) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 309

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

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

GCD(2, 309) = 618 / 618

GCD(2, 309) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 677

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

LCM(1, 677) = 677

GCD(1, 677) = ( 1 x 677 ) / 677

GCD(1, 677) = 677 / 677

GCD(1, 677) = 1

GCD of 492, 482, 309, 677 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 492, 482, 309, 677

1. What is the GCD of 492, 482, 309, 677?

GCD of 492, 482, 309, 677 is 1


2. Where do I get the detailed procedure to find GCD of 492, 482, 309, 677?

You can find a detailed procedure to find GCD of 492, 482, 309, 677 on our page.


3. How to find GCD of 492, 482, 309, 677 on a calculator?

You can find the GCD of 492, 482, 309, 677 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.