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 134, 215, 540, 385 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 215, 540, 385 is 1
GCD(134, 215, 540, 385) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 215, 540, 385 is 1
GCD(134, 215, 540, 385) = 1
Given Input numbers are 134, 215, 540, 385
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 215
List of positive integer divisors of 215 that divides 215 without a remainder.
1, 5, 43, 215
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 385
List of positive integer divisors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77, 385
Greatest Common Divisior
We found the divisors of 134, 215, 540, 385 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 215, 540, 385 is 1.
Therefore, GCD of numbers 134, 215, 540, 385 is 1
Given Input Data is 134, 215, 540, 385
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 215 is 5 x 43
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 385 is 5 x 7 x 11
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(134, 215) = 28810
GCD(134, 215) = ( 134 x 215 ) / 28810
GCD(134, 215) = 28810 / 28810
GCD(134, 215) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 540
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 540) = 540
GCD(1, 540) = ( 1 x 540 ) / 540
GCD(1, 540) = 540 / 540
GCD(1, 540) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 385
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 385) = 385
GCD(1, 385) = ( 1 x 385 ) / 385
GCD(1, 385) = 385 / 385
GCD(1, 385) = 1
GCD of 134, 215, 540, 385 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 215, 540, 385?
GCD of 134, 215, 540, 385 is 1
2. Where do I get the detailed procedure to find GCD of 134, 215, 540, 385?
You can find a detailed procedure to find GCD of 134, 215, 540, 385 on our page.
3. How to find GCD of 134, 215, 540, 385 on a calculator?
You can find the GCD of 134, 215, 540, 385 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.