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 14, 266, 885, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 14, 266, 885, 428 is 1
GCD(14, 266, 885, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 14, 266, 885, 428 is 1
GCD(14, 266, 885, 428) = 1
Given Input numbers are 14, 266, 885, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 885
List of positive integer divisors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 14, 266, 885, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 266, 885, 428 is 1.
Therefore, GCD of numbers 14, 266, 885, 428 is 1
Given Input Data is 14, 266, 885, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 14 is 2 x 7
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 885 is 3 x 5 x 59
Prime Factorization of 428 is 2 x 2 x 107
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(14, 266) = 266
GCD(14, 266) = ( 14 x 266 ) / 266
GCD(14, 266) = 3724 / 266
GCD(14, 266) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 885
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 885) = 12390
GCD(14, 885) = ( 14 x 885 ) / 12390
GCD(14, 885) = 12390 / 12390
GCD(14, 885) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 14, 266, 885, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 14, 266, 885, 428?
GCD of 14, 266, 885, 428 is 1
2. Where do I get the detailed procedure to find GCD of 14, 266, 885, 428?
You can find a detailed procedure to find GCD of 14, 266, 885, 428 on our page.
3. How to find GCD of 14, 266, 885, 428 on a calculator?
You can find the GCD of 14, 266, 885, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.