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 753, 687, 135, 563 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 687, 135, 563 is 1
GCD(753, 687, 135, 563) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 687, 135, 563 is 1
GCD(753, 687, 135, 563) = 1
Given Input numbers are 753, 687, 135, 563
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 687
List of positive integer divisors of 687 that divides 687 without a remainder.
1, 3, 229, 687
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 563
List of positive integer divisors of 563 that divides 563 without a remainder.
1, 563
Greatest Common Divisior
We found the divisors of 753, 687, 135, 563 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 687, 135, 563 is 1.
Therefore, GCD of numbers 753, 687, 135, 563 is 1
Given Input Data is 753, 687, 135, 563
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 687 is 3 x 229
Prime Factorization of 135 is 3 x 3 x 3 x 5
Prime Factorization of 563 is 563
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(753, 687) = 172437
GCD(753, 687) = ( 753 x 687 ) / 172437
GCD(753, 687) = 517311 / 172437
GCD(753, 687) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 135
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
GCD(3, 135) = 405 / 135
GCD(3, 135) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 563
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 563) = 1689
GCD(3, 563) = ( 3 x 563 ) / 1689
GCD(3, 563) = 1689 / 1689
GCD(3, 563) = 1
GCD of 753, 687, 135, 563 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 687, 135, 563?
GCD of 753, 687, 135, 563 is 1
2. Where do I get the detailed procedure to find GCD of 753, 687, 135, 563?
You can find a detailed procedure to find GCD of 753, 687, 135, 563 on our page.
3. How to find GCD of 753, 687, 135, 563 on a calculator?
You can find the GCD of 753, 687, 135, 563 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.