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, 885, 379, 270 i.e. 1 largest integer that divides all the numbers equally.
GCD of 144, 885, 379, 270 is 1
GCD(144, 885, 379, 270) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 144, 885, 379, 270 is 1
GCD(144, 885, 379, 270) = 1
Given Input numbers are 144, 885, 379, 270
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 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 379
List of positive integer divisors of 379 that divides 379 without a remainder.
1, 379
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Greatest Common Divisior
We found the divisors of 144, 885, 379, 270 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 144, 885, 379, 270 is 1.
Therefore, GCD of numbers 144, 885, 379, 270 is 1
Given Input Data is 144, 885, 379, 270
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 885 is 3 x 5 x 59
Prime Factorization of 379 is 379
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
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, 885) = 42480
GCD(144, 885) = ( 144 x 885 ) / 42480
GCD(144, 885) = 127440 / 42480
GCD(144, 885) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 379
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 379) = 1137
GCD(3, 379) = ( 3 x 379 ) / 1137
GCD(3, 379) = 1137 / 1137
GCD(3, 379) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 270
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 270) = 270
GCD(1, 270) = ( 1 x 270 ) / 270
GCD(1, 270) = 270 / 270
GCD(1, 270) = 1
GCD of 144, 885, 379, 270 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 144, 885, 379, 270?
GCD of 144, 885, 379, 270 is 1
2. Where do I get the detailed procedure to find GCD of 144, 885, 379, 270?
You can find a detailed procedure to find GCD of 144, 885, 379, 270 on our page.
3. How to find GCD of 144, 885, 379, 270 on a calculator?
You can find the GCD of 144, 885, 379, 270 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.