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, 924, 333, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 924, 333, 666 is 1
GCD(496, 924, 333, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 924, 333, 666 is 1
GCD(496, 924, 333, 666) = 1
Given Input numbers are 496, 924, 333, 666
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 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 333
List of positive integer divisors of 333 that divides 333 without a remainder.
1, 3, 9, 37, 111, 333
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 496, 924, 333, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 924, 333, 666 is 1.
Therefore, GCD of numbers 496, 924, 333, 666 is 1
Given Input Data is 496, 924, 333, 666
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 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 333 is 3 x 3 x 37
Prime Factorization of 666 is 2 x 3 x 3 x 37
The above numbers do not have any common prime factor. So GCD is 1
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, 924) = 114576
GCD(496, 924) = ( 496 x 924 ) / 114576
GCD(496, 924) = 458304 / 114576
GCD(496, 924) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 333
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 333) = 1332
GCD(4, 333) = ( 4 x 333 ) / 1332
GCD(4, 333) = 1332 / 1332
GCD(4, 333) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 496, 924, 333, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 924, 333, 666?
GCD of 496, 924, 333, 666 is 1
2. Where do I get the detailed procedure to find GCD of 496, 924, 333, 666?
You can find a detailed procedure to find GCD of 496, 924, 333, 666 on our page.
3. How to find GCD of 496, 924, 333, 666 on a calculator?
You can find the GCD of 496, 924, 333, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.