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 267, 807, 39, 223 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 807, 39, 223 is 1
GCD(267, 807, 39, 223) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 807, 39, 223 is 1
GCD(267, 807, 39, 223) = 1
Given Input numbers are 267, 807, 39, 223
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 223
List of positive integer divisors of 223 that divides 223 without a remainder.
1, 223
Greatest Common Divisior
We found the divisors of 267, 807, 39, 223 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 807, 39, 223 is 1.
Therefore, GCD of numbers 267, 807, 39, 223 is 1
Given Input Data is 267, 807, 39, 223
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 807 is 3 x 269
Prime Factorization of 39 is 3 x 13
Prime Factorization of 223 is 223
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(267, 807) = 71823
GCD(267, 807) = ( 267 x 807 ) / 71823
GCD(267, 807) = 215469 / 71823
GCD(267, 807) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 39
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 39) = 39
GCD(3, 39) = ( 3 x 39 ) / 39
GCD(3, 39) = 117 / 39
GCD(3, 39) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 223
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 223) = 669
GCD(3, 223) = ( 3 x 223 ) / 669
GCD(3, 223) = 669 / 669
GCD(3, 223) = 1
GCD of 267, 807, 39, 223 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 807, 39, 223?
GCD of 267, 807, 39, 223 is 1
2. Where do I get the detailed procedure to find GCD of 267, 807, 39, 223?
You can find a detailed procedure to find GCD of 267, 807, 39, 223 on our page.
3. How to find GCD of 267, 807, 39, 223 on a calculator?
You can find the GCD of 267, 807, 39, 223 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.