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 369, 855, 540, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 369, 855, 540, 151 is 1
GCD(369, 855, 540, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 369, 855, 540, 151 is 1
GCD(369, 855, 540, 151) = 1
Given Input numbers are 369, 855, 540, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 855
List of positive integer divisors of 855 that divides 855 without a remainder.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 369, 855, 540, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 855, 540, 151 is 1.
Therefore, GCD of numbers 369, 855, 540, 151 is 1
Given Input Data is 369, 855, 540, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 855 is 3 x 3 x 5 x 19
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 151 is 151
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(369, 855) = 35055
GCD(369, 855) = ( 369 x 855 ) / 35055
GCD(369, 855) = 315495 / 35055
GCD(369, 855) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 540) = 540
GCD(9, 540) = ( 9 x 540 ) / 540
GCD(9, 540) = 4860 / 540
GCD(9, 540) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 151) = 1359
GCD(9, 151) = ( 9 x 151 ) / 1359
GCD(9, 151) = 1359 / 1359
GCD(9, 151) = 1
GCD of 369, 855, 540, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 369, 855, 540, 151?
GCD of 369, 855, 540, 151 is 1
2. Where do I get the detailed procedure to find GCD of 369, 855, 540, 151?
You can find a detailed procedure to find GCD of 369, 855, 540, 151 on our page.
3. How to find GCD of 369, 855, 540, 151 on a calculator?
You can find the GCD of 369, 855, 540, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.