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 407, 270, 650, 809 i.e. 1 largest integer that divides all the numbers equally.
GCD of 407, 270, 650, 809 is 1
GCD(407, 270, 650, 809) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 407, 270, 650, 809 is 1
GCD(407, 270, 650, 809) = 1
Given Input numbers are 407, 270, 650, 809
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 270
List of positive integer divisors of 270 that divides 270 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 809
List of positive integer divisors of 809 that divides 809 without a remainder.
1, 809
Greatest Common Divisior
We found the divisors of 407, 270, 650, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 270, 650, 809 is 1.
Therefore, GCD of numbers 407, 270, 650, 809 is 1
Given Input Data is 407, 270, 650, 809
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 407 is 11 x 37
Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 809 is 809
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(407, 270) = 109890
GCD(407, 270) = ( 407 x 270 ) / 109890
GCD(407, 270) = 109890 / 109890
GCD(407, 270) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 809
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 809) = 809
GCD(1, 809) = ( 1 x 809 ) / 809
GCD(1, 809) = 809 / 809
GCD(1, 809) = 1
GCD of 407, 270, 650, 809 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 407, 270, 650, 809?
GCD of 407, 270, 650, 809 is 1
2. Where do I get the detailed procedure to find GCD of 407, 270, 650, 809?
You can find a detailed procedure to find GCD of 407, 270, 650, 809 on our page.
3. How to find GCD of 407, 270, 650, 809 on a calculator?
You can find the GCD of 407, 270, 650, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.