GCD of 489, 125, 272, 746 Calculator

Given Input numbers are 489, 125, 272, 746

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

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 746

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

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 489, 125, 272, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 125, 272, 746 is 1.

Therefore, GCD of numbers 489, 125, 272, 746 is 1

Given Input Data is 489, 125, 272, 746

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

Prime Factorization of 746 is 2 x 373

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(489, 125) = 61125

GCD(489, 125) = ( 489 x 125 ) / 61125

GCD(489, 125) = 61125 / 61125

GCD(489, 125) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 489, 125, 272, 746 is 1

Here are some samples of GCD of Numbers calculations.

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1. What is the GCD of 489, 125, 272, 746?

GCD of 489, 125, 272, 746 is 1

2. Where do I get the detailed procedure to find GCD of 489, 125, 272, 746?

You can find a detailed procedure to find GCD of 489, 125, 272, 746 on our page.

3. How to find GCD of 489, 125, 272, 746 on a calculator?

You can find the GCD of 489, 125, 272, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.