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, 872, 426, 382 i.e. 2 largest integer that divides all the numbers equally.
GCD of 480, 872, 426, 382 is 2
GCD(480, 872, 426, 382) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 872, 426, 382 is 2
GCD(480, 872, 426, 382) = 2
Given Input numbers are 480, 872, 426, 382
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 872
List of positive integer divisors of 872 that divides 872 without a remainder.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 426
List of positive integer divisors of 426 that divides 426 without a remainder.
1, 2, 3, 6, 71, 142, 213, 426
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Greatest Common Divisior
We found the divisors of 480, 872, 426, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 872, 426, 382 is 2.
Therefore, GCD of numbers 480, 872, 426, 382 is 2
Given Input Data is 480, 872, 426, 382
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 872 is 2 x 2 x 2 x 109
Prime Factorization of 426 is 2 x 3 x 71
Prime Factorization of 382 is 2 x 191
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(480, 872) = 52320
GCD(480, 872) = ( 480 x 872 ) / 52320
GCD(480, 872) = 418560 / 52320
GCD(480, 872) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 426
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 426) = 1704
GCD(8, 426) = ( 8 x 426 ) / 1704
GCD(8, 426) = 3408 / 1704
GCD(8, 426) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 382
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 382) = 382
GCD(2, 382) = ( 2 x 382 ) / 382
GCD(2, 382) = 764 / 382
GCD(2, 382) = 2
GCD of 480, 872, 426, 382 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 872, 426, 382?
GCD of 480, 872, 426, 382 is 2
2. Where do I get the detailed procedure to find GCD of 480, 872, 426, 382?
You can find a detailed procedure to find GCD of 480, 872, 426, 382 on our page.
3. How to find GCD of 480, 872, 426, 382 on a calculator?
You can find the GCD of 480, 872, 426, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.