GCD of 489, 982, 625, 557 Calculator

Given Input numbers are 489, 982, 625, 557

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 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 557

List of positive integer divisors of 557 that divides 557 without a remainder.

1, 557

Greatest Common Divisior

We found the divisors of 489, 982, 625, 557 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 982, 625, 557 is 1.

Therefore, GCD of numbers 489, 982, 625, 557 is 1

Given Input Data is 489, 982, 625, 557

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 982 is 2 x 491

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

Prime Factorization of 557 is 557

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, 982) = 480198

GCD(489, 982) = ( 489 x 982 ) / 480198

GCD(489, 982) = 480198 / 480198

GCD(489, 982) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 557

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

LCM(1, 557) = 557

GCD(1, 557) = ( 1 x 557 ) / 557

GCD(1, 557) = 557 / 557

GCD(1, 557) = 1

GCD of 489, 982, 625, 557 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 223, 961, 279
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• GCD of 312, 223, 750, 369
• GCD of 926, 350, 128, 877

1. What is the GCD of 489, 982, 625, 557?

GCD of 489, 982, 625, 557 is 1

2. Where do I get the detailed procedure to find GCD of 489, 982, 625, 557?

You can find a detailed procedure to find GCD of 489, 982, 625, 557 on our page.

3. How to find GCD of 489, 982, 625, 557 on a calculator?

You can find the GCD of 489, 982, 625, 557 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.