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 406, 840, 80, 309 i.e. 1 largest integer that divides all the numbers equally.
GCD of 406, 840, 80, 309 is 1
GCD(406, 840, 80, 309) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 406, 840, 80, 309 is 1
GCD(406, 840, 80, 309) = 1
Given Input numbers are 406, 840, 80, 309
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 80
List of positive integer divisors of 80 that divides 80 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Greatest Common Divisior
We found the divisors of 406, 840, 80, 309 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 840, 80, 309 is 1.
Therefore, GCD of numbers 406, 840, 80, 309 is 1
Given Input Data is 406, 840, 80, 309
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5
Prime Factorization of 309 is 3 x 103
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(406, 840) = 24360
GCD(406, 840) = ( 406 x 840 ) / 24360
GCD(406, 840) = 341040 / 24360
GCD(406, 840) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 80
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 80) = 560
GCD(14, 80) = ( 14 x 80 ) / 560
GCD(14, 80) = 1120 / 560
GCD(14, 80) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 309
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
GCD(2, 309) = 618 / 618
GCD(2, 309) = 1
GCD of 406, 840, 80, 309 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 406, 840, 80, 309?
GCD of 406, 840, 80, 309 is 1
2. Where do I get the detailed procedure to find GCD of 406, 840, 80, 309?
You can find a detailed procedure to find GCD of 406, 840, 80, 309 on our page.
3. How to find GCD of 406, 840, 80, 309 on a calculator?
You can find the GCD of 406, 840, 80, 309 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.