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 814, 713, 52, 336 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 713, 52, 336 is 1
GCD(814, 713, 52, 336) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 713, 52, 336 is 1
GCD(814, 713, 52, 336) = 1
Given Input numbers are 814, 713, 52, 336
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 713
List of positive integer divisors of 713 that divides 713 without a remainder.
1, 23, 31, 713
Divisors of 52
List of positive integer divisors of 52 that divides 52 without a remainder.
1, 2, 4, 13, 26, 52
Divisors of 336
List of positive integer divisors of 336 that divides 336 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Greatest Common Divisior
We found the divisors of 814, 713, 52, 336 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 713, 52, 336 is 1.
Therefore, GCD of numbers 814, 713, 52, 336 is 1
Given Input Data is 814, 713, 52, 336
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 713 is 23 x 31
Prime Factorization of 52 is 2 x 2 x 13
Prime Factorization of 336 is 2 x 2 x 2 x 2 x 3 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(814, 713) = 580382
GCD(814, 713) = ( 814 x 713 ) / 580382
GCD(814, 713) = 580382 / 580382
GCD(814, 713) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 52
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 52) = 52
GCD(1, 52) = ( 1 x 52 ) / 52
GCD(1, 52) = 52 / 52
GCD(1, 52) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 336
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
GCD(1, 336) = 336 / 336
GCD(1, 336) = 1
GCD of 814, 713, 52, 336 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 713, 52, 336?
GCD of 814, 713, 52, 336 is 1
2. Where do I get the detailed procedure to find GCD of 814, 713, 52, 336?
You can find a detailed procedure to find GCD of 814, 713, 52, 336 on our page.
3. How to find GCD of 814, 713, 52, 336 on a calculator?
You can find the GCD of 814, 713, 52, 336 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.