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 144, 187, 273, 938 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 187, 273, 938 is 1
GCD(144, 187, 273, 938) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 187, 273, 938 is 1
GCD(144, 187, 273, 938) = 1
Given Input numbers are 144, 187, 273, 938
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 187
List of positive integer divisors of 187 that divides 187 without a remainder.
1, 11, 17, 187
Divisors of 273
List of positive integer divisors of 273 that divides 273 without a remainder.
1, 3, 7, 13, 21, 39, 91, 273
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Greatest Common Divisior
We found the divisors of 144, 187, 273, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 187, 273, 938 is 1.
Therefore, GCD of numbers 144, 187, 273, 938 is 1
Given Input Data is 144, 187, 273, 938
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 187 is 11 x 17
Prime Factorization of 273 is 3 x 7 x 13
Prime Factorization of 938 is 2 x 7 x 67
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(144, 187) = 26928
GCD(144, 187) = ( 144 x 187 ) / 26928
GCD(144, 187) = 26928 / 26928
GCD(144, 187) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 273
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 273) = 273
GCD(1, 273) = ( 1 x 273 ) / 273
GCD(1, 273) = 273 / 273
GCD(1, 273) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 938
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
GCD(1, 938) = 938 / 938
GCD(1, 938) = 1
GCD of 144, 187, 273, 938 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 187, 273, 938?
GCD of 144, 187, 273, 938 is 1
2. Where do I get the detailed procedure to find GCD of 144, 187, 273, 938?
You can find a detailed procedure to find GCD of 144, 187, 273, 938 on our page.
3. How to find GCD of 144, 187, 273, 938 on a calculator?
You can find the GCD of 144, 187, 273, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.