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 496, 682, 284, 254 i.e. 2 largest integer that divides all the numbers equally.
GCD of 496, 682, 284, 254 is 2
GCD(496, 682, 284, 254) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 682, 284, 254 is 2
GCD(496, 682, 284, 254) = 2
Given Input numbers are 496, 682, 284, 254
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 284
List of positive integer divisors of 284 that divides 284 without a remainder.
1, 2, 4, 71, 142, 284
Divisors of 254
List of positive integer divisors of 254 that divides 254 without a remainder.
1, 2, 127, 254
Greatest Common Divisior
We found the divisors of 496, 682, 284, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 682, 284, 254 is 2.
Therefore, GCD of numbers 496, 682, 284, 254 is 2
Given Input Data is 496, 682, 284, 254
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 284 is 2 x 2 x 71
Prime Factorization of 254 is 2 x 127
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(496, 682) = 5456
GCD(496, 682) = ( 496 x 682 ) / 5456
GCD(496, 682) = 338272 / 5456
GCD(496, 682) = 62
Step2:
Here we consider the GCD from the above i.e. 62 as first number and the next as 284
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(62, 284) = 8804
GCD(62, 284) = ( 62 x 284 ) / 8804
GCD(62, 284) = 17608 / 8804
GCD(62, 284) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 254
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 254) = 254
GCD(2, 254) = ( 2 x 254 ) / 254
GCD(2, 254) = 508 / 254
GCD(2, 254) = 2
GCD of 496, 682, 284, 254 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 682, 284, 254?
GCD of 496, 682, 284, 254 is 2
2. Where do I get the detailed procedure to find GCD of 496, 682, 284, 254?
You can find a detailed procedure to find GCD of 496, 682, 284, 254 on our page.
3. How to find GCD of 496, 682, 284, 254 on a calculator?
You can find the GCD of 496, 682, 284, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.