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, 228, 77, 993 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 228, 77, 993 is 1
GCD(135, 228, 77, 993) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 228, 77, 993 is 1
GCD(135, 228, 77, 993) = 1
Given Input numbers are 135, 228, 77, 993
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 228
List of positive integer divisors of 228 that divides 228 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 993
List of positive integer divisors of 993 that divides 993 without a remainder.
1, 3, 331, 993
Greatest Common Divisior
We found the divisors of 135, 228, 77, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 228, 77, 993 is 1.
Therefore, GCD of numbers 135, 228, 77, 993 is 1
Given Input Data is 135, 228, 77, 993
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 228 is 2 x 2 x 3 x 19
Prime Factorization of 77 is 7 x 11
Prime Factorization of 993 is 3 x 331
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, 228) = 10260
GCD(135, 228) = ( 135 x 228 ) / 10260
GCD(135, 228) = 30780 / 10260
GCD(135, 228) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 77) = 231
GCD(3, 77) = ( 3 x 77 ) / 231
GCD(3, 77) = 231 / 231
GCD(3, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 993
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 993) = 993
GCD(1, 993) = ( 1 x 993 ) / 993
GCD(1, 993) = 993 / 993
GCD(1, 993) = 1
GCD of 135, 228, 77, 993 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 228, 77, 993?
GCD of 135, 228, 77, 993 is 1
2. Where do I get the detailed procedure to find GCD of 135, 228, 77, 993?
You can find a detailed procedure to find GCD of 135, 228, 77, 993 on our page.
3. How to find GCD of 135, 228, 77, 993 on a calculator?
You can find the GCD of 135, 228, 77, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.