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 848, 130, 723, 489 i.e. 1 largest integer that divides all the numbers equally.
GCD of 848, 130, 723, 489 is 1
GCD(848, 130, 723, 489) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 848, 130, 723, 489 is 1
GCD(848, 130, 723, 489) = 1
Given Input numbers are 848, 130, 723, 489
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
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
Greatest Common Divisior
We found the divisors of 848, 130, 723, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 848, 130, 723, 489 is 1.
Therefore, GCD of numbers 848, 130, 723, 489 is 1
Given Input Data is 848, 130, 723, 489
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
Prime Factorization of 130 is 2 x 5 x 13
Prime Factorization of 723 is 3 x 241
Prime Factorization of 489 is 3 x 163
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(848, 130) = 55120
GCD(848, 130) = ( 848 x 130 ) / 55120
GCD(848, 130) = 110240 / 55120
GCD(848, 130) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 723
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 723) = 1446
GCD(2, 723) = ( 2 x 723 ) / 1446
GCD(2, 723) = 1446 / 1446
GCD(2, 723) = 1
Step3:
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
GCD of 848, 130, 723, 489 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 848, 130, 723, 489?
GCD of 848, 130, 723, 489 is 1
2. Where do I get the detailed procedure to find GCD of 848, 130, 723, 489?
You can find a detailed procedure to find GCD of 848, 130, 723, 489 on our page.
3. How to find GCD of 848, 130, 723, 489 on a calculator?
You can find the GCD of 848, 130, 723, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.