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 486, 562, 496 i.e. 2 largest integer that divides all the numbers equally.
GCD of 486, 562, 496 is 2
GCD(486, 562, 496) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 486, 562, 496 is 2
GCD(486, 562, 496) = 2
Given Input numbers are 486, 562, 496
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 486
List of positive integer divisors of 486 that divides 486 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 562
List of positive integer divisors of 562 that divides 562 without a remainder.
1, 2, 281, 562
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
Greatest Common Divisior
We found the divisors of 486, 562, 496 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 562, 496 is 2.
Therefore, GCD of numbers 486, 562, 496 is 2
Given Input Data is 486, 562, 496
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 562 is 2 x 281
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
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(486, 562) = 136566
GCD(486, 562) = ( 486 x 562 ) / 136566
GCD(486, 562) = 273132 / 136566
GCD(486, 562) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 496) = 496
GCD(2, 496) = ( 2 x 496 ) / 496
GCD(2, 496) = 992 / 496
GCD(2, 496) = 2
GCD of 486, 562, 496 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 486, 562, 496?
GCD of 486, 562, 496 is 2
2. Where do I get the detailed procedure to find GCD of 486, 562, 496?
You can find a detailed procedure to find GCD of 486, 562, 496 on our page.
3. How to find GCD of 486, 562, 496 on a calculator?
You can find the GCD of 486, 562, 496 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.