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, 346, 44, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 346, 44, 271 is 1
GCD(123, 346, 44, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 346, 44, 271 is 1
GCD(123, 346, 44, 271) = 1
Given Input numbers are 123, 346, 44, 271
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 346
List of positive integer divisors of 346 that divides 346 without a remainder.
1, 2, 173, 346
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 123, 346, 44, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 346, 44, 271 is 1.
Therefore, GCD of numbers 123, 346, 44, 271 is 1
Given Input Data is 123, 346, 44, 271
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 346 is 2 x 173
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 271 is 271
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, 346) = 42558
GCD(123, 346) = ( 123 x 346 ) / 42558
GCD(123, 346) = 42558 / 42558
GCD(123, 346) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 123, 346, 44, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 346, 44, 271?
GCD of 123, 346, 44, 271 is 1
2. Where do I get the detailed procedure to find GCD of 123, 346, 44, 271?
You can find a detailed procedure to find GCD of 123, 346, 44, 271 on our page.
3. How to find GCD of 123, 346, 44, 271 on a calculator?
You can find the GCD of 123, 346, 44, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.