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 299, 905, 490, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 299, 905, 490, 267 is 1
GCD(299, 905, 490, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 299, 905, 490, 267 is 1
GCD(299, 905, 490, 267) = 1
Given Input numbers are 299, 905, 490, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 299
List of positive integer divisors of 299 that divides 299 without a remainder.
1, 13, 23, 299
Divisors of 905
List of positive integer divisors of 905 that divides 905 without a remainder.
1, 5, 181, 905
Divisors of 490
List of positive integer divisors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Greatest Common Divisior
We found the divisors of 299, 905, 490, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 905, 490, 267 is 1.
Therefore, GCD of numbers 299, 905, 490, 267 is 1
Given Input Data is 299, 905, 490, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 299 is 13 x 23
Prime Factorization of 905 is 5 x 181
Prime Factorization of 490 is 2 x 5 x 7 x 7
Prime Factorization of 267 is 3 x 89
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(299, 905) = 270595
GCD(299, 905) = ( 299 x 905 ) / 270595
GCD(299, 905) = 270595 / 270595
GCD(299, 905) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 490
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
GCD(1, 490) = 490 / 490
GCD(1, 490) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
GCD of 299, 905, 490, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 299, 905, 490, 267?
GCD of 299, 905, 490, 267 is 1
2. Where do I get the detailed procedure to find GCD of 299, 905, 490, 267?
You can find a detailed procedure to find GCD of 299, 905, 490, 267 on our page.
3. How to find GCD of 299, 905, 490, 267 on a calculator?
You can find the GCD of 299, 905, 490, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.