GCD of 489, 553, 25, 770 Calculator

Given Input numbers are 489, 553, 25, 770

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 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Greatest Common Divisior

We found the divisors of 489, 553, 25, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 489, 553, 25, 770 is 1.

Therefore, GCD of numbers 489, 553, 25, 770 is 1

Given Input Data is 489, 553, 25, 770

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

Prime Factorization of 489 is 3 x 163

Prime Factorization of 553 is 7 x 79

Prime Factorization of 25 is 5 x 5

Prime Factorization of 770 is 2 x 5 x 7 x 11

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, 553) = 270417

GCD(489, 553) = ( 489 x 553 ) / 270417

GCD(489, 553) = 270417 / 270417

GCD(489, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 25

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

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

GCD(1, 25) = 25 / 25

GCD(1, 25) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 770

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

LCM(1, 770) = 770

GCD(1, 770) = ( 1 x 770 ) / 770

GCD(1, 770) = 770 / 770

GCD(1, 770) = 1

GCD of 489, 553, 25, 770 is 1

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1. What is the GCD of 489, 553, 25, 770?

GCD of 489, 553, 25, 770 is 1

2. Where do I get the detailed procedure to find GCD of 489, 553, 25, 770?

You can find a detailed procedure to find GCD of 489, 553, 25, 770 on our page.

3. How to find GCD of 489, 553, 25, 770 on a calculator?

You can find the GCD of 489, 553, 25, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.