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 414, 813, 82, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 813, 82, 840 is 1
GCD(414, 813, 82, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 813, 82, 840 is 1
GCD(414, 813, 82, 840) = 1
Given Input numbers are 414, 813, 82, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 813
List of positive integer divisors of 813 that divides 813 without a remainder.
1, 3, 271, 813
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
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
Greatest Common Divisior
We found the divisors of 414, 813, 82, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 813, 82, 840 is 1.
Therefore, GCD of numbers 414, 813, 82, 840 is 1
Given Input Data is 414, 813, 82, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 813 is 3 x 271
Prime Factorization of 82 is 2 x 41
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
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(414, 813) = 112194
GCD(414, 813) = ( 414 x 813 ) / 112194
GCD(414, 813) = 336582 / 112194
GCD(414, 813) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 82) = 246
GCD(3, 82) = ( 3 x 82 ) / 246
GCD(3, 82) = 246 / 246
GCD(3, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 840
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
GCD(1, 840) = 840 / 840
GCD(1, 840) = 1
GCD of 414, 813, 82, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 813, 82, 840?
GCD of 414, 813, 82, 840 is 1
2. Where do I get the detailed procedure to find GCD of 414, 813, 82, 840?
You can find a detailed procedure to find GCD of 414, 813, 82, 840 on our page.
3. How to find GCD of 414, 813, 82, 840 on a calculator?
You can find the GCD of 414, 813, 82, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.