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 678, 549, 66, 283 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 549, 66, 283 is 1
GCD(678, 549, 66, 283) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 549, 66, 283 is 1
GCD(678, 549, 66, 283) = 1
Given Input numbers are 678, 549, 66, 283
To find the GCD of numbers using factoring list out all the divisors of each number
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 549
List of positive integer divisors of 549 that divides 549 without a remainder.
1, 3, 9, 61, 183, 549
Divisors of 66
List of positive integer divisors of 66 that divides 66 without a remainder.
1, 2, 3, 6, 11, 22, 33, 66
Divisors of 283
List of positive integer divisors of 283 that divides 283 without a remainder.
1, 283
Greatest Common Divisior
We found the divisors of 678, 549, 66, 283 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 549, 66, 283 is 1.
Therefore, GCD of numbers 678, 549, 66, 283 is 1
Given Input Data is 678, 549, 66, 283
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 678 is 2 x 3 x 113
Prime Factorization of 549 is 3 x 3 x 61
Prime Factorization of 66 is 2 x 3 x 11
Prime Factorization of 283 is 283
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(678, 549) = 124074
GCD(678, 549) = ( 678 x 549 ) / 124074
GCD(678, 549) = 372222 / 124074
GCD(678, 549) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 66
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 66) = 66
GCD(3, 66) = ( 3 x 66 ) / 66
GCD(3, 66) = 198 / 66
GCD(3, 66) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 283
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 283) = 849
GCD(3, 283) = ( 3 x 283 ) / 849
GCD(3, 283) = 849 / 849
GCD(3, 283) = 1
GCD of 678, 549, 66, 283 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 549, 66, 283?
GCD of 678, 549, 66, 283 is 1
2. Where do I get the detailed procedure to find GCD of 678, 549, 66, 283?
You can find a detailed procedure to find GCD of 678, 549, 66, 283 on our page.
3. How to find GCD of 678, 549, 66, 283 on a calculator?
You can find the GCD of 678, 549, 66, 283 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.