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, 859, 24, 960 i.e. 1 largest integer that divides all the numbers equally.
GCD of 488, 859, 24, 960 is 1
GCD(488, 859, 24, 960) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 488, 859, 24, 960 is 1
GCD(488, 859, 24, 960) = 1
Given Input numbers are 488, 859, 24, 960
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 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Greatest Common Divisior
We found the divisors of 488, 859, 24, 960 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 488, 859, 24, 960 is 1.
Therefore, GCD of numbers 488, 859, 24, 960 is 1
Given Input Data is 488, 859, 24, 960
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 859 is 859
Prime Factorization of 24 is 2 x 2 x 2 x 3
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
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, 859) = 419192
GCD(488, 859) = ( 488 x 859 ) / 419192
GCD(488, 859) = 419192 / 419192
GCD(488, 859) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 960
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 960) = 960
GCD(1, 960) = ( 1 x 960 ) / 960
GCD(1, 960) = 960 / 960
GCD(1, 960) = 1
GCD of 488, 859, 24, 960 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 488, 859, 24, 960?
GCD of 488, 859, 24, 960 is 1
2. Where do I get the detailed procedure to find GCD of 488, 859, 24, 960?
You can find a detailed procedure to find GCD of 488, 859, 24, 960 on our page.
3. How to find GCD of 488, 859, 24, 960 on a calculator?
You can find the GCD of 488, 859, 24, 960 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.