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 29, 330, 675, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 29, 330, 675, 267 is 1
GCD(29, 330, 675, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 29, 330, 675, 267 is 1
GCD(29, 330, 675, 267) = 1
Given Input numbers are 29, 330, 675, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 29
List of positive integer divisors of 29 that divides 29 without a remainder.
1, 29
Divisors of 330
List of positive integer divisors of 330 that divides 330 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
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 29, 330, 675, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 29, 330, 675, 267 is 1.
Therefore, GCD of numbers 29, 330, 675, 267 is 1
Given Input Data is 29, 330, 675, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 29 is 29
Prime Factorization of 330 is 2 x 3 x 5 x 11
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(29, 330) = 9570
GCD(29, 330) = ( 29 x 330 ) / 9570
GCD(29, 330) = 9570 / 9570
GCD(29, 330) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 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 29, 330, 675, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 29, 330, 675, 267?
GCD of 29, 330, 675, 267 is 1
2. Where do I get the detailed procedure to find GCD of 29, 330, 675, 267?
You can find a detailed procedure to find GCD of 29, 330, 675, 267 on our page.
3. How to find GCD of 29, 330, 675, 267 on a calculator?
You can find the GCD of 29, 330, 675, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.