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 150, 806, 756 i.e. 2 largest integer that divides all the numbers equally.
GCD of 150, 806, 756 is 2
GCD(150, 806, 756) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 806, 756 is 2
GCD(150, 806, 756) = 2
Given Input numbers are 150, 806, 756
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 806
List of positive integer divisors of 806 that divides 806 without a remainder.
1, 2, 13, 26, 31, 62, 403, 806
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Greatest Common Divisior
We found the divisors of 150, 806, 756 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 806, 756 is 2.
Therefore, GCD of numbers 150, 806, 756 is 2
Given Input Data is 150, 806, 756
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 806 is 2 x 13 x 31
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(150, 806) = 60450
GCD(150, 806) = ( 150 x 806 ) / 60450
GCD(150, 806) = 120900 / 60450
GCD(150, 806) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 756
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 756) = 756
GCD(2, 756) = ( 2 x 756 ) / 756
GCD(2, 756) = 1512 / 756
GCD(2, 756) = 2
GCD of 150, 806, 756 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 806, 756?
GCD of 150, 806, 756 is 2
2. Where do I get the detailed procedure to find GCD of 150, 806, 756?
You can find a detailed procedure to find GCD of 150, 806, 756 on our page.
3. How to find GCD of 150, 806, 756 on a calculator?
You can find the GCD of 150, 806, 756 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.