GCD of 154, 330, 123 Calculator
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 154, 330, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 330, 123 is 1
GCD(154, 330, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 330, 123 is 1
GCD(154, 330, 123) = 1
GCDof 154,330,123 is 1
Given Input numbers are 154, 330, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Greatest Common Divisior
We found the divisors of 154, 330, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 330, 123 is 1.
Therefore, GCD of numbers 154, 330, 123 is 1
Given Input Data is 154, 330, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 123 is 3 x 41
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 154, 330, 123 using LCM Formula
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(154, 330) = 2310
GCD(154, 330) = ( 154 x 330 ) / 2310
GCD(154, 330) = 50820 / 2310
GCD(154, 330) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 123) = 2706
GCD(22, 123) = ( 22 x 123 ) / 2706
GCD(22, 123) = 2706 / 2706
GCD(22, 123) = 1
GCD of 154, 330, 123 is 1
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FAQs on GCD of numbers 154, 330, 123
1. What is the GCD of 154, 330, 123?
GCD of 154, 330, 123 is 1
2. Where do I get the detailed procedure to find GCD of 154, 330, 123?
You can find a detailed procedure to find GCD of 154, 330, 123 on our page.
3. How to find GCD of 154, 330, 123 on a calculator?
You can find the GCD of 154, 330, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.