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 665, 850, 40 i.e. 5 largest integer that divides all the numbers equally.
GCD of 665, 850, 40 is 5
GCD(665, 850, 40) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 665, 850, 40 is 5
GCD(665, 850, 40) = 5
Given Input numbers are 665, 850, 40
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 665
List of positive integer divisors of 665 that divides 665 without a remainder.
1, 5, 7, 19, 35, 95, 133, 665
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Greatest Common Divisior
We found the divisors of 665, 850, 40 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 850, 40 is 5.
Therefore, GCD of numbers 665, 850, 40 is 5
Given Input Data is 665, 850, 40
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 665 is 5 x 7 x 19
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 40 is 2 x 2 x 2 x 5
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(665, 850) = 113050
GCD(665, 850) = ( 665 x 850 ) / 113050
GCD(665, 850) = 565250 / 113050
GCD(665, 850) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 40) = 40
GCD(5, 40) = ( 5 x 40 ) / 40
GCD(5, 40) = 200 / 40
GCD(5, 40) = 5
GCD of 665, 850, 40 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 665, 850, 40?
GCD of 665, 850, 40 is 5
2. Where do I get the detailed procedure to find GCD of 665, 850, 40?
You can find a detailed procedure to find GCD of 665, 850, 40 on our page.
3. How to find GCD of 665, 850, 40 on a calculator?
You can find the GCD of 665, 850, 40 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.