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 306, 135, 53, 900 i.e. 1 largest integer that divides all the numbers equally.
GCD of 306, 135, 53, 900 is 1
GCD(306, 135, 53, 900) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 306, 135, 53, 900 is 1
GCD(306, 135, 53, 900) = 1
Given Input numbers are 306, 135, 53, 900
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
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 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Greatest Common Divisior
We found the divisors of 306, 135, 53, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 135, 53, 900 is 1.
Therefore, GCD of numbers 306, 135, 53, 900 is 1
Given Input Data is 306, 135, 53, 900
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 53 is 53
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 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(306, 135) = 4590
GCD(306, 135) = ( 306 x 135 ) / 4590
GCD(306, 135) = 41310 / 4590
GCD(306, 135) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 53) = 477
GCD(9, 53) = ( 9 x 53 ) / 477
GCD(9, 53) = 477 / 477
GCD(9, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 900
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
GCD(1, 900) = 900 / 900
GCD(1, 900) = 1
GCD of 306, 135, 53, 900 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 306, 135, 53, 900?
GCD of 306, 135, 53, 900 is 1
2. Where do I get the detailed procedure to find GCD of 306, 135, 53, 900?
You can find a detailed procedure to find GCD of 306, 135, 53, 900 on our page.
3. How to find GCD of 306, 135, 53, 900 on a calculator?
You can find the GCD of 306, 135, 53, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.