GCD of 489, 625, 898, 716 Calculator

Given Input numbers are 489, 625, 898, 716

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 898

List of positive integer divisors of 898 that divides 898 without a remainder.

1, 2, 449, 898

Divisors of 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Greatest Common Divisior

We found the divisors of 489, 625, 898, 716 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 625, 898, 716 is 1.

Therefore, GCD of numbers 489, 625, 898, 716 is 1

Given Input Data is 489, 625, 898, 716

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 898 is 2 x 449

Prime Factorization of 716 is 2 x 2 x 179

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, 625) = 305625

GCD(489, 625) = ( 489 x 625 ) / 305625

GCD(489, 625) = 305625 / 305625

GCD(489, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 898

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

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

GCD(1, 898) = 898 / 898

GCD(1, 898) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 716

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

LCM(1, 716) = 716

GCD(1, 716) = ( 1 x 716 ) / 716

GCD(1, 716) = 716 / 716

GCD(1, 716) = 1

GCD of 489, 625, 898, 716 is 1

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1. What is the GCD of 489, 625, 898, 716?

GCD of 489, 625, 898, 716 is 1

2. Where do I get the detailed procedure to find GCD of 489, 625, 898, 716?

You can find a detailed procedure to find GCD of 489, 625, 898, 716 on our page.

3. How to find GCD of 489, 625, 898, 716 on a calculator?

You can find the GCD of 489, 625, 898, 716 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.