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 135, 385, 37, 123 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 385, 37, 123 is 1
GCD(135, 385, 37, 123) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 385, 37, 123 is 1
GCD(135, 385, 37, 123) = 1
Given Input numbers are 135, 385, 37, 123
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
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 135, 385, 37, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 385, 37, 123 is 1.
Therefore, GCD of numbers 135, 385, 37, 123 is 1
Given Input Data is 135, 385, 37, 123
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 385 is 5 x 7 x 11
Prime Factorization of 37 is 37
Prime Factorization of 123 is 3 x 41
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(135, 385) = 10395
GCD(135, 385) = ( 135 x 385 ) / 10395
GCD(135, 385) = 51975 / 10395
GCD(135, 385) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 37) = 185
GCD(5, 37) = ( 5 x 37 ) / 185
GCD(5, 37) = 185 / 185
GCD(5, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 123
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 123) = 123
GCD(1, 123) = ( 1 x 123 ) / 123
GCD(1, 123) = 123 / 123
GCD(1, 123) = 1
GCD of 135, 385, 37, 123 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 385, 37, 123?
GCD of 135, 385, 37, 123 is 1
2. Where do I get the detailed procedure to find GCD of 135, 385, 37, 123?
You can find a detailed procedure to find GCD of 135, 385, 37, 123 on our page.
3. How to find GCD of 135, 385, 37, 123 on a calculator?
You can find the GCD of 135, 385, 37, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.