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 747, 186, 825 i.e. 3 largest integer that divides all the numbers equally.
GCD of 747, 186, 825 is 3
GCD(747, 186, 825) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 186, 825 is 3
GCD(747, 186, 825) = 3
Given Input numbers are 747, 186, 825
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 186
List of positive integer divisors of 186 that divides 186 without a remainder.
1, 2, 3, 6, 31, 62, 93, 186
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Greatest Common Divisior
We found the divisors of 747, 186, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 186, 825 is 3.
Therefore, GCD of numbers 747, 186, 825 is 3
Given Input Data is 747, 186, 825
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 186 is 2 x 3 x 31
Prime Factorization of 825 is 3 x 5 x 5 x 11
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(747, 186) = 46314
GCD(747, 186) = ( 747 x 186 ) / 46314
GCD(747, 186) = 138942 / 46314
GCD(747, 186) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 825) = 825
GCD(3, 825) = ( 3 x 825 ) / 825
GCD(3, 825) = 2475 / 825
GCD(3, 825) = 3
GCD of 747, 186, 825 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 186, 825?
GCD of 747, 186, 825 is 3
2. Where do I get the detailed procedure to find GCD of 747, 186, 825?
You can find a detailed procedure to find GCD of 747, 186, 825 on our page.
3. How to find GCD of 747, 186, 825 on a calculator?
You can find the GCD of 747, 186, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.