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, 551, 54 i.e. 1 largest integer that divides all the numbers equally.
GCD of 678, 551, 54 is 1
GCD(678, 551, 54) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 678, 551, 54 is 1
GCD(678, 551, 54) = 1
Given Input numbers are 678, 551, 54
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 551
List of positive integer divisors of 551 that divides 551 without a remainder.
1, 19, 29, 551
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Greatest Common Divisior
We found the divisors of 678, 551, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 678, 551, 54 is 1.
Therefore, GCD of numbers 678, 551, 54 is 1
Given Input Data is 678, 551, 54
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 551 is 19 x 29
Prime Factorization of 54 is 2 x 3 x 3 x 3
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, 551) = 373578
GCD(678, 551) = ( 678 x 551 ) / 373578
GCD(678, 551) = 373578 / 373578
GCD(678, 551) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 54) = 54
GCD(1, 54) = ( 1 x 54 ) / 54
GCD(1, 54) = 54 / 54
GCD(1, 54) = 1
GCD of 678, 551, 54 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 678, 551, 54?
GCD of 678, 551, 54 is 1
2. Where do I get the detailed procedure to find GCD of 678, 551, 54?
You can find a detailed procedure to find GCD of 678, 551, 54 on our page.
3. How to find GCD of 678, 551, 54 on a calculator?
You can find the GCD of 678, 551, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.