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 270, 312, 537, 419 i.e. 1 largest integer that divides all the numbers equally.
GCD of 270, 312, 537, 419 is 1
GCD(270, 312, 537, 419) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 270, 312, 537, 419 is 1
GCD(270, 312, 537, 419) = 1
Given Input numbers are 270, 312, 537, 419
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 312
List of positive integer divisors of 312 that divides 312 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 537
List of positive integer divisors of 537 that divides 537 without a remainder.
1, 3, 179, 537
Divisors of 419
List of positive integer divisors of 419 that divides 419 without a remainder.
1, 419
Greatest Common Divisior
We found the divisors of 270, 312, 537, 419 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 270, 312, 537, 419 is 1.
Therefore, GCD of numbers 270, 312, 537, 419 is 1
Given Input Data is 270, 312, 537, 419
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13
Prime Factorization of 537 is 3 x 179
Prime Factorization of 419 is 419
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(270, 312) = 14040
GCD(270, 312) = ( 270 x 312 ) / 14040
GCD(270, 312) = 84240 / 14040
GCD(270, 312) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 537
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 537) = 1074
GCD(6, 537) = ( 6 x 537 ) / 1074
GCD(6, 537) = 3222 / 1074
GCD(6, 537) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 419
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 419) = 1257
GCD(3, 419) = ( 3 x 419 ) / 1257
GCD(3, 419) = 1257 / 1257
GCD(3, 419) = 1
GCD of 270, 312, 537, 419 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 270, 312, 537, 419?
GCD of 270, 312, 537, 419 is 1
2. Where do I get the detailed procedure to find GCD of 270, 312, 537, 419?
You can find a detailed procedure to find GCD of 270, 312, 537, 419 on our page.
3. How to find GCD of 270, 312, 537, 419 on a calculator?
You can find the GCD of 270, 312, 537, 419 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.