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 135, 356, 27, 370 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 356, 27, 370 is 1
GCD(135, 356, 27, 370) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 356, 27, 370 is 1
GCD(135, 356, 27, 370) = 1
Given Input numbers are 135, 356, 27, 370
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 135
List of positive integer divisors of 135 that divides 135 without a remainder.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Greatest Common Divisior
We found the divisors of 135, 356, 27, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 356, 27, 370 is 1.
Therefore, GCD of numbers 135, 356, 27, 370 is 1
Given Input Data is 135, 356, 27, 370
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 356 is 2 x 2 x 89
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 370 is 2 x 5 x 37
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(135, 356) = 48060
GCD(135, 356) = ( 135 x 356 ) / 48060
GCD(135, 356) = 48060 / 48060
GCD(135, 356) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 370) = 370
GCD(1, 370) = ( 1 x 370 ) / 370
GCD(1, 370) = 370 / 370
GCD(1, 370) = 1
GCD of 135, 356, 27, 370 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 356, 27, 370?
GCD of 135, 356, 27, 370 is 1
2. Where do I get the detailed procedure to find GCD of 135, 356, 27, 370?
You can find a detailed procedure to find GCD of 135, 356, 27, 370 on our page.
3. How to find GCD of 135, 356, 27, 370 on a calculator?
You can find the GCD of 135, 356, 27, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.