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, 950, 310, 412 i.e. 2 largest integer that divides all the numbers equally.
GCD of 482, 950, 310, 412 is 2
GCD(482, 950, 310, 412) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 482, 950, 310, 412 is 2
GCD(482, 950, 310, 412) = 2
Given Input numbers are 482, 950, 310, 412
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 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 310
List of positive integer divisors of 310 that divides 310 without a remainder.
1, 2, 5, 10, 31, 62, 155, 310
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Greatest Common Divisior
We found the divisors of 482, 950, 310, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 482, 950, 310, 412 is 2.
Therefore, GCD of numbers 482, 950, 310, 412 is 2
Given Input Data is 482, 950, 310, 412
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 482 is 2 x 241
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 310 is 2 x 5 x 31
Prime Factorization of 412 is 2 x 2 x 103
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, 950) = 228950
GCD(482, 950) = ( 482 x 950 ) / 228950
GCD(482, 950) = 457900 / 228950
GCD(482, 950) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 310
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 310) = 310
GCD(2, 310) = ( 2 x 310 ) / 310
GCD(2, 310) = 620 / 310
GCD(2, 310) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 412
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 412) = 412
GCD(2, 412) = ( 2 x 412 ) / 412
GCD(2, 412) = 824 / 412
GCD(2, 412) = 2
GCD of 482, 950, 310, 412 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 482, 950, 310, 412?
GCD of 482, 950, 310, 412 is 2
2. Where do I get the detailed procedure to find GCD of 482, 950, 310, 412?
You can find a detailed procedure to find GCD of 482, 950, 310, 412 on our page.
3. How to find GCD of 482, 950, 310, 412 on a calculator?
You can find the GCD of 482, 950, 310, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.