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 675, 677, 51, 227 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 677, 51, 227 is 1
GCD(675, 677, 51, 227) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 677, 51, 227 is 1
GCD(675, 677, 51, 227) = 1
Given Input numbers are 675, 677, 51, 227
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 227
List of positive integer divisors of 227 that divides 227 without a remainder.
1, 227
Greatest Common Divisior
We found the divisors of 675, 677, 51, 227 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 677, 51, 227 is 1.
Therefore, GCD of numbers 675, 677, 51, 227 is 1
Given Input Data is 675, 677, 51, 227
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 677 is 677
Prime Factorization of 51 is 3 x 17
Prime Factorization of 227 is 227
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(675, 677) = 456975
GCD(675, 677) = ( 675 x 677 ) / 456975
GCD(675, 677) = 456975 / 456975
GCD(675, 677) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 227
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 227) = 227
GCD(1, 227) = ( 1 x 227 ) / 227
GCD(1, 227) = 227 / 227
GCD(1, 227) = 1
GCD of 675, 677, 51, 227 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 675, 677, 51, 227?
GCD of 675, 677, 51, 227 is 1
2. Where do I get the detailed procedure to find GCD of 675, 677, 51, 227?
You can find a detailed procedure to find GCD of 675, 677, 51, 227 on our page.
3. How to find GCD of 675, 677, 51, 227 on a calculator?
You can find the GCD of 675, 677, 51, 227 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.