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 616, 254, 658, 482 i.e. 2 largest integer that divides all the numbers equally.
GCD of 616, 254, 658, 482 is 2
GCD(616, 254, 658, 482) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 616, 254, 658, 482 is 2
GCD(616, 254, 658, 482) = 2
Given Input numbers are 616, 254, 658, 482
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 482
List of positive integer divisors of 482 that divides 482 without a remainder.
1, 2, 241, 482
Greatest Common Divisior
We found the divisors of 616, 254, 658, 482 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 616, 254, 658, 482 is 2.
Therefore, GCD of numbers 616, 254, 658, 482 is 2
Given Input Data is 616, 254, 658, 482
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 254 is 2 x 127
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 482 is 2 x 241
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(616, 254) = 78232
GCD(616, 254) = ( 616 x 254 ) / 78232
GCD(616, 254) = 156464 / 78232
GCD(616, 254) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
GCD(2, 658) = 1316 / 658
GCD(2, 658) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 482
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 482) = 482
GCD(2, 482) = ( 2 x 482 ) / 482
GCD(2, 482) = 964 / 482
GCD(2, 482) = 2
GCD of 616, 254, 658, 482 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 616, 254, 658, 482?
GCD of 616, 254, 658, 482 is 2
2. Where do I get the detailed procedure to find GCD of 616, 254, 658, 482?
You can find a detailed procedure to find GCD of 616, 254, 658, 482 on our page.
3. How to find GCD of 616, 254, 658, 482 on a calculator?
You can find the GCD of 616, 254, 658, 482 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.