Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 488, 723, 489, 757 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 723, 489, 757 is 1
GCD(488, 723, 489, 757) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 723, 489, 757 is 1
GCD(488, 723, 489, 757) = 1
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
Here are some samples of GCD of Numbers calculations.
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.