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 279, 451, 14, 297 i.e. 1 largest integer that divides all the numbers equally.
GCD of 279, 451, 14, 297 is 1
GCD(279, 451, 14, 297) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 279, 451, 14, 297 is 1
GCD(279, 451, 14, 297) = 1
Given Input numbers are 279, 451, 14, 297
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 297
List of positive integer divisors of 297 that divides 297 without a remainder.
1, 3, 9, 11, 27, 33, 99, 297
Greatest Common Divisior
We found the divisors of 279, 451, 14, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 451, 14, 297 is 1.
Therefore, GCD of numbers 279, 451, 14, 297 is 1
Given Input Data is 279, 451, 14, 297
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 451 is 11 x 41
Prime Factorization of 14 is 2 x 7
Prime Factorization of 297 is 3 x 3 x 3 x 11
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(279, 451) = 125829
GCD(279, 451) = ( 279 x 451 ) / 125829
GCD(279, 451) = 125829 / 125829
GCD(279, 451) = 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 297
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 297) = 297
GCD(1, 297) = ( 1 x 297 ) / 297
GCD(1, 297) = 297 / 297
GCD(1, 297) = 1
GCD of 279, 451, 14, 297 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 279, 451, 14, 297?
GCD of 279, 451, 14, 297 is 1
2. Where do I get the detailed procedure to find GCD of 279, 451, 14, 297?
You can find a detailed procedure to find GCD of 279, 451, 14, 297 on our page.
3. How to find GCD of 279, 451, 14, 297 on a calculator?
You can find the GCD of 279, 451, 14, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.