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 482, 872, 548, 920 i.e. 2 largest integer that divides all the numbers equally.
GCD of 482, 872, 548, 920 is 2
GCD(482, 872, 548, 920) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 872, 548, 920 is 2
GCD(482, 872, 548, 920) = 2
Given Input numbers are 482, 872, 548, 920
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Greatest Common Divisior
We found the divisors of 482, 872, 548, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 872, 548, 920 is 2.
Therefore, GCD of numbers 482, 872, 548, 920 is 2
Given Input Data is 482, 872, 548, 920
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 872 is 2 x 2 x 2 x 109
Prime Factorization of 548 is 2 x 2 x 137
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(482, 872) = 210152
GCD(482, 872) = ( 482 x 872 ) / 210152
GCD(482, 872) = 420304 / 210152
GCD(482, 872) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 548) = 548
GCD(2, 548) = ( 2 x 548 ) / 548
GCD(2, 548) = 1096 / 548
GCD(2, 548) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 920) = 920
GCD(2, 920) = ( 2 x 920 ) / 920
GCD(2, 920) = 1840 / 920
GCD(2, 920) = 2
GCD of 482, 872, 548, 920 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 872, 548, 920?
GCD of 482, 872, 548, 920 is 2
2. Where do I get the detailed procedure to find GCD of 482, 872, 548, 920?
You can find a detailed procedure to find GCD of 482, 872, 548, 920 on our page.
3. How to find GCD of 482, 872, 548, 920 on a calculator?
You can find the GCD of 482, 872, 548, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.