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 483, 900, 975 i.e. 3 largest integer that divides all the numbers equally.
GCD of 483, 900, 975 is 3
GCD(483, 900, 975) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 483, 900, 975 is 3
GCD(483, 900, 975) = 3
Given Input numbers are 483, 900, 975
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 483
List of positive integer divisors of 483 that divides 483 without a remainder.
1, 3, 7, 21, 23, 69, 161, 483
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 975
List of positive integer divisors of 975 that divides 975 without a remainder.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Greatest Common Divisior
We found the divisors of 483, 900, 975 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 483, 900, 975 is 3.
Therefore, GCD of numbers 483, 900, 975 is 3
Given Input Data is 483, 900, 975
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 483 is 3 x 7 x 23
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 975 is 3 x 5 x 5 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(483, 900) = 144900
GCD(483, 900) = ( 483 x 900 ) / 144900
GCD(483, 900) = 434700 / 144900
GCD(483, 900) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 975
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 975) = 975
GCD(3, 975) = ( 3 x 975 ) / 975
GCD(3, 975) = 2925 / 975
GCD(3, 975) = 3
GCD of 483, 900, 975 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 483, 900, 975?
GCD of 483, 900, 975 is 3
2. Where do I get the detailed procedure to find GCD of 483, 900, 975?
You can find a detailed procedure to find GCD of 483, 900, 975 on our page.
3. How to find GCD of 483, 900, 975 on a calculator?
You can find the GCD of 483, 900, 975 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.