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 309, 392, 782, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 309, 392, 782, 821 is 1
GCD(309, 392, 782, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 309, 392, 782, 821 is 1
GCD(309, 392, 782, 821) = 1
Given Input numbers are 309, 392, 782, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 309
List of positive integer divisors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Divisors of 392
List of positive integer divisors of 392 that divides 392 without a remainder.
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
Divisors of 782
List of positive integer divisors of 782 that divides 782 without a remainder.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 309, 392, 782, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 309, 392, 782, 821 is 1.
Therefore, GCD of numbers 309, 392, 782, 821 is 1
Given Input Data is 309, 392, 782, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 309 is 3 x 103
Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7
Prime Factorization of 782 is 2 x 17 x 23
Prime Factorization of 821 is 821
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(309, 392) = 121128
GCD(309, 392) = ( 309 x 392 ) / 121128
GCD(309, 392) = 121128 / 121128
GCD(309, 392) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 782
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
GCD(1, 782) = 782 / 782
GCD(1, 782) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
GCD of 309, 392, 782, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 309, 392, 782, 821?
GCD of 309, 392, 782, 821 is 1
2. Where do I get the detailed procedure to find GCD of 309, 392, 782, 821?
You can find a detailed procedure to find GCD of 309, 392, 782, 821 on our page.
3. How to find GCD of 309, 392, 782, 821 on a calculator?
You can find the GCD of 309, 392, 782, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.