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 207, 812, 14, 504 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 812, 14, 504 is 1
GCD(207, 812, 14, 504) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 812, 14, 504 is 1
GCD(207, 812, 14, 504) = 1
Given Input numbers are 207, 812, 14, 504
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 812
List of positive integer divisors of 812 that divides 812 without a remainder.
1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 504
List of positive integer divisors of 504 that divides 504 without a remainder.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Greatest Common Divisior
We found the divisors of 207, 812, 14, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 812, 14, 504 is 1.
Therefore, GCD of numbers 207, 812, 14, 504 is 1
Given Input Data is 207, 812, 14, 504
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 812 is 2 x 2 x 7 x 29
Prime Factorization of 14 is 2 x 7
Prime Factorization of 504 is 2 x 2 x 2 x 3 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(207, 812) = 168084
GCD(207, 812) = ( 207 x 812 ) / 168084
GCD(207, 812) = 168084 / 168084
GCD(207, 812) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 504
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 504) = 504
GCD(1, 504) = ( 1 x 504 ) / 504
GCD(1, 504) = 504 / 504
GCD(1, 504) = 1
GCD of 207, 812, 14, 504 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 812, 14, 504?
GCD of 207, 812, 14, 504 is 1
2. Where do I get the detailed procedure to find GCD of 207, 812, 14, 504?
You can find a detailed procedure to find GCD of 207, 812, 14, 504 on our page.
3. How to find GCD of 207, 812, 14, 504 on a calculator?
You can find the GCD of 207, 812, 14, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.