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 444, 699, 267, 317 i.e. 1 largest integer that divides all the numbers equally.
GCD of 444, 699, 267, 317 is 1
GCD(444, 699, 267, 317) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 444, 699, 267, 317 is 1
GCD(444, 699, 267, 317) = 1
Given Input numbers are 444, 699, 267, 317
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 444
List of positive integer divisors of 444 that divides 444 without a remainder.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 317
List of positive integer divisors of 317 that divides 317 without a remainder.
1, 317
Greatest Common Divisior
We found the divisors of 444, 699, 267, 317 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 444, 699, 267, 317 is 1.
Therefore, GCD of numbers 444, 699, 267, 317 is 1
Given Input Data is 444, 699, 267, 317
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 444 is 2 x 2 x 3 x 37
Prime Factorization of 699 is 3 x 233
Prime Factorization of 267 is 3 x 89
Prime Factorization of 317 is 317
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(444, 699) = 103452
GCD(444, 699) = ( 444 x 699 ) / 103452
GCD(444, 699) = 310356 / 103452
GCD(444, 699) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 267) = 267
GCD(3, 267) = ( 3 x 267 ) / 267
GCD(3, 267) = 801 / 267
GCD(3, 267) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 317
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 317) = 951
GCD(3, 317) = ( 3 x 317 ) / 951
GCD(3, 317) = 951 / 951
GCD(3, 317) = 1
GCD of 444, 699, 267, 317 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 444, 699, 267, 317?
GCD of 444, 699, 267, 317 is 1
2. Where do I get the detailed procedure to find GCD of 444, 699, 267, 317?
You can find a detailed procedure to find GCD of 444, 699, 267, 317 on our page.
3. How to find GCD of 444, 699, 267, 317 on a calculator?
You can find the GCD of 444, 699, 267, 317 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.