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 839, 693, 12, 351 i.e. 1 largest integer that divides all the numbers equally.
GCD of 839, 693, 12, 351 is 1
GCD(839, 693, 12, 351) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 839, 693, 12, 351 is 1
GCD(839, 693, 12, 351) = 1
Given Input numbers are 839, 693, 12, 351
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 839
List of positive integer divisors of 839 that divides 839 without a remainder.
1, 839
Divisors of 693
List of positive integer divisors of 693 that divides 693 without a remainder.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Greatest Common Divisior
We found the divisors of 839, 693, 12, 351 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 839, 693, 12, 351 is 1.
Therefore, GCD of numbers 839, 693, 12, 351 is 1
Given Input Data is 839, 693, 12, 351
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 839 is 839
Prime Factorization of 693 is 3 x 3 x 7 x 11
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 351 is 3 x 3 x 3 x 13
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(839, 693) = 581427
GCD(839, 693) = ( 839 x 693 ) / 581427
GCD(839, 693) = 581427 / 581427
GCD(839, 693) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 351
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 351) = 351
GCD(1, 351) = ( 1 x 351 ) / 351
GCD(1, 351) = 351 / 351
GCD(1, 351) = 1
GCD of 839, 693, 12, 351 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 839, 693, 12, 351?
GCD of 839, 693, 12, 351 is 1
2. Where do I get the detailed procedure to find GCD of 839, 693, 12, 351?
You can find a detailed procedure to find GCD of 839, 693, 12, 351 on our page.
3. How to find GCD of 839, 693, 12, 351 on a calculator?
You can find the GCD of 839, 693, 12, 351 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.