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 499, 678, 33, 211 i.e. 1 largest integer that divides all the numbers equally.
GCD of 499, 678, 33, 211 is 1
GCD(499, 678, 33, 211) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 499, 678, 33, 211 is 1
GCD(499, 678, 33, 211) = 1
Given Input numbers are 499, 678, 33, 211
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 499
List of positive integer divisors of 499 that divides 499 without a remainder.
1, 499
Divisors of 678
List of positive integer divisors of 678 that divides 678 without a remainder.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Greatest Common Divisior
We found the divisors of 499, 678, 33, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 678, 33, 211 is 1.
Therefore, GCD of numbers 499, 678, 33, 211 is 1
Given Input Data is 499, 678, 33, 211
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 499 is 499
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 33 is 3 x 11
Prime Factorization of 211 is 211
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(499, 678) = 338322
GCD(499, 678) = ( 499 x 678 ) / 338322
GCD(499, 678) = 338322 / 338322
GCD(499, 678) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 211
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 211) = 211
GCD(1, 211) = ( 1 x 211 ) / 211
GCD(1, 211) = 211 / 211
GCD(1, 211) = 1
GCD of 499, 678, 33, 211 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 499, 678, 33, 211?
GCD of 499, 678, 33, 211 is 1
2. Where do I get the detailed procedure to find GCD of 499, 678, 33, 211?
You can find a detailed procedure to find GCD of 499, 678, 33, 211 on our page.
3. How to find GCD of 499, 678, 33, 211 on a calculator?
You can find the GCD of 499, 678, 33, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.