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, 873, 495, 762 i.e. 3 largest integer that divides all the numbers equally.
GCD of 135, 873, 495, 762 is 3
GCD(135, 873, 495, 762) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 135, 873, 495, 762 is 3
GCD(135, 873, 495, 762) = 3
Given Input numbers are 135, 873, 495, 762
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 135, 873, 495, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 135, 873, 495, 762 is 3.
Therefore, GCD of numbers 135, 873, 495, 762 is 3
Given Input Data is 135, 873, 495, 762
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 873 is 3 x 3 x 97
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 762 is 2 x 3 x 127
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 873) = 13095
GCD(135, 873) = ( 135 x 873 ) / 13095
GCD(135, 873) = 117855 / 13095
GCD(135, 873) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 495
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 495) = 495
GCD(9, 495) = ( 9 x 495 ) / 495
GCD(9, 495) = 4455 / 495
GCD(9, 495) = 9
Step3:
Here we consider the GCD from the above i.e. 9 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 762) = 2286
GCD(9, 762) = ( 9 x 762 ) / 2286
GCD(9, 762) = 6858 / 2286
GCD(9, 762) = 3
GCD of 135, 873, 495, 762 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 135, 873, 495, 762?
GCD of 135, 873, 495, 762 is 3
2. Where do I get the detailed procedure to find GCD of 135, 873, 495, 762?
You can find a detailed procedure to find GCD of 135, 873, 495, 762 on our page.
3. How to find GCD of 135, 873, 495, 762 on a calculator?
You can find the GCD of 135, 873, 495, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.