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 303, 165, 35, 267 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 165, 35, 267 is 1
GCD(303, 165, 35, 267) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 165, 35, 267 is 1
GCD(303, 165, 35, 267) = 1
Given Input numbers are 303, 165, 35, 267
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 303
List of positive integer divisors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
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 303, 165, 35, 267 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 165, 35, 267 is 1.
Therefore, GCD of numbers 303, 165, 35, 267 is 1
Given Input Data is 303, 165, 35, 267
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 35 is 5 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(303, 165) = 16665
GCD(303, 165) = ( 303 x 165 ) / 16665
GCD(303, 165) = 49995 / 16665
GCD(303, 165) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 35) = 105
GCD(3, 35) = ( 3 x 35 ) / 105
GCD(3, 35) = 105 / 105
GCD(3, 35) = 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 303, 165, 35, 267 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 165, 35, 267?
GCD of 303, 165, 35, 267 is 1
2. Where do I get the detailed procedure to find GCD of 303, 165, 35, 267?
You can find a detailed procedure to find GCD of 303, 165, 35, 267 on our page.
3. How to find GCD of 303, 165, 35, 267 on a calculator?
You can find the GCD of 303, 165, 35, 267 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.