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 123, 901, 27, 276 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 901, 27, 276 is 1
GCD(123, 901, 27, 276) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 901, 27, 276 is 1
GCD(123, 901, 27, 276) = 1
Given Input numbers are 123, 901, 27, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 123, 901, 27, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 901, 27, 276 is 1.
Therefore, GCD of numbers 123, 901, 27, 276 is 1
Given Input Data is 123, 901, 27, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 901 is 17 x 53
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 276 is 2 x 2 x 3 x 23
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(123, 901) = 110823
GCD(123, 901) = ( 123 x 901 ) / 110823
GCD(123, 901) = 110823 / 110823
GCD(123, 901) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
GCD of 123, 901, 27, 276 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 901, 27, 276?
GCD of 123, 901, 27, 276 is 1
2. Where do I get the detailed procedure to find GCD of 123, 901, 27, 276?
You can find a detailed procedure to find GCD of 123, 901, 27, 276 on our page.
3. How to find GCD of 123, 901, 27, 276 on a calculator?
You can find the GCD of 123, 901, 27, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.