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 424, 556, 482, 670 i.e. 2 largest integer that divides all the numbers equally.
GCD of 424, 556, 482, 670 is 2
GCD(424, 556, 482, 670) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 424, 556, 482, 670 is 2
GCD(424, 556, 482, 670) = 2
Given Input numbers are 424, 556, 482, 670
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 556
List of positive integer divisors of 556 that divides 556 without a remainder.
1, 2, 4, 139, 278, 556
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Greatest Common Divisior
We found the divisors of 424, 556, 482, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 556, 482, 670 is 2.
Therefore, GCD of numbers 424, 556, 482, 670 is 2
Given Input Data is 424, 556, 482, 670
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 556 is 2 x 2 x 139
Prime Factorization of 482 is 2 x 241
Prime Factorization of 670 is 2 x 5 x 67
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(424, 556) = 58936
GCD(424, 556) = ( 424 x 556 ) / 58936
GCD(424, 556) = 235744 / 58936
GCD(424, 556) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 482) = 964
GCD(4, 482) = ( 4 x 482 ) / 964
GCD(4, 482) = 1928 / 964
GCD(4, 482) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 670
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
GCD(2, 670) = 1340 / 670
GCD(2, 670) = 2
GCD of 424, 556, 482, 670 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 424, 556, 482, 670?
GCD of 424, 556, 482, 670 is 2
2. Where do I get the detailed procedure to find GCD of 424, 556, 482, 670?
You can find a detailed procedure to find GCD of 424, 556, 482, 670 on our page.
3. How to find GCD of 424, 556, 482, 670 on a calculator?
You can find the GCD of 424, 556, 482, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.