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, 246, 600, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 135, 246, 600, 775 is 1
GCD(135, 246, 600, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 246, 600, 775 is 1
GCD(135, 246, 600, 775) = 1
Given Input numbers are 135, 246, 600, 775
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 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 135, 246, 600, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 246, 600, 775 is 1.
Therefore, GCD of numbers 135, 246, 600, 775 is 1
Given Input Data is 135, 246, 600, 775
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 246 is 2 x 3 x 41
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 775 is 5 x 5 x 31
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, 246) = 11070
GCD(135, 246) = ( 135 x 246 ) / 11070
GCD(135, 246) = 33210 / 11070
GCD(135, 246) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 600
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 600) = 600
GCD(3, 600) = ( 3 x 600 ) / 600
GCD(3, 600) = 1800 / 600
GCD(3, 600) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 775) = 2325
GCD(3, 775) = ( 3 x 775 ) / 2325
GCD(3, 775) = 2325 / 2325
GCD(3, 775) = 1
GCD of 135, 246, 600, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 246, 600, 775?
GCD of 135, 246, 600, 775 is 1
2. Where do I get the detailed procedure to find GCD of 135, 246, 600, 775?
You can find a detailed procedure to find GCD of 135, 246, 600, 775 on our page.
3. How to find GCD of 135, 246, 600, 775 on a calculator?
You can find the GCD of 135, 246, 600, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.