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 382, 340, 568, 488 i.e. 2 largest integer that divides all the numbers equally.
GCD of 382, 340, 568, 488 is 2
GCD(382, 340, 568, 488) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 382, 340, 568, 488 is 2
GCD(382, 340, 568, 488) = 2
Given Input numbers are 382, 340, 568, 488
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 340
List of positive integer divisors of 340 that divides 340 without a remainder.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Greatest Common Divisior
We found the divisors of 382, 340, 568, 488 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 382, 340, 568, 488 is 2.
Therefore, GCD of numbers 382, 340, 568, 488 is 2
Given Input Data is 382, 340, 568, 488
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 382 is 2 x 191
Prime Factorization of 340 is 2 x 2 x 5 x 17
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 488 is 2 x 2 x 2 x 61
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(382, 340) = 64940
GCD(382, 340) = ( 382 x 340 ) / 64940
GCD(382, 340) = 129880 / 64940
GCD(382, 340) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 568
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 568) = 568
GCD(2, 568) = ( 2 x 568 ) / 568
GCD(2, 568) = 1136 / 568
GCD(2, 568) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 488
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 488) = 488
GCD(2, 488) = ( 2 x 488 ) / 488
GCD(2, 488) = 976 / 488
GCD(2, 488) = 2
GCD of 382, 340, 568, 488 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 382, 340, 568, 488?
GCD of 382, 340, 568, 488 is 2
2. Where do I get the detailed procedure to find GCD of 382, 340, 568, 488?
You can find a detailed procedure to find GCD of 382, 340, 568, 488 on our page.
3. How to find GCD of 382, 340, 568, 488 on a calculator?
You can find the GCD of 382, 340, 568, 488 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.