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 480, 885, 505, 125 i.e. 5 largest integer that divides all the numbers equally.
GCD of 480, 885, 505, 125 is 5
GCD(480, 885, 505, 125) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 885, 505, 125 is 5
GCD(480, 885, 505, 125) = 5
Given Input numbers are 480, 885, 505, 125
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Greatest Common Divisior
We found the divisors of 480, 885, 505, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 885, 505, 125 is 5.
Therefore, GCD of numbers 480, 885, 505, 125 is 5
Given Input Data is 480, 885, 505, 125
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 505 is 5 x 101
Prime Factorization of 125 is 5 x 5 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(480, 885) = 28320
GCD(480, 885) = ( 480 x 885 ) / 28320
GCD(480, 885) = 424800 / 28320
GCD(480, 885) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 505) = 1515
GCD(15, 505) = ( 15 x 505 ) / 1515
GCD(15, 505) = 7575 / 1515
GCD(15, 505) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 125
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 125) = 125
GCD(5, 125) = ( 5 x 125 ) / 125
GCD(5, 125) = 625 / 125
GCD(5, 125) = 5
GCD of 480, 885, 505, 125 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 885, 505, 125?
GCD of 480, 885, 505, 125 is 5
2. Where do I get the detailed procedure to find GCD of 480, 885, 505, 125?
You can find a detailed procedure to find GCD of 480, 885, 505, 125 on our page.
3. How to find GCD of 480, 885, 505, 125 on a calculator?
You can find the GCD of 480, 885, 505, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.