GCD of 488, 723, 489, 757 Calculator

Given Input numbers are 488, 723, 489, 757

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

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 489

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

1, 3, 163, 489

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Greatest Common Divisior

We found the divisors of 488, 723, 489, 757 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 723, 489, 757 is 1.

Therefore, GCD of numbers 488, 723, 489, 757 is 1

Given Input Data is 488, 723, 489, 757

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

Prime Factorization of 488 is 2 x 2 x 2 x 61

Prime Factorization of 723 is 3 x 241

Prime Factorization of 489 is 3 x 163

Prime Factorization of 757 is 757

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(488, 723) = 352824

GCD(488, 723) = ( 488 x 723 ) / 352824

GCD(488, 723) = 352824 / 352824

GCD(488, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 757

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

LCM(1, 757) = 757

GCD(1, 757) = ( 1 x 757 ) / 757

GCD(1, 757) = 757 / 757

GCD(1, 757) = 1

GCD of 488, 723, 489, 757 is 1

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1. What is the GCD of 488, 723, 489, 757?

GCD of 488, 723, 489, 757 is 1

2. Where do I get the detailed procedure to find GCD of 488, 723, 489, 757?

You can find a detailed procedure to find GCD of 488, 723, 489, 757 on our page.

3. How to find GCD of 488, 723, 489, 757 on a calculator?

You can find the GCD of 488, 723, 489, 757 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.