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, 111, 70 i.e. 1 largest integer that divides all the numbers equally.
GCD of 303, 111, 70 is 1
GCD(303, 111, 70) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 303, 111, 70 is 1
GCD(303, 111, 70) = 1
Given Input numbers are 303, 111, 70
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 111
List of positive integer divisors of 111 that divides 111 without a remainder.
1, 3, 37, 111
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Greatest Common Divisior
We found the divisors of 303, 111, 70 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 303, 111, 70 is 1.
Therefore, GCD of numbers 303, 111, 70 is 1
Given Input Data is 303, 111, 70
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 303 is 3 x 101
Prime Factorization of 111 is 3 x 37
Prime Factorization of 70 is 2 x 5 x 7
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, 111) = 11211
GCD(303, 111) = ( 303 x 111 ) / 11211
GCD(303, 111) = 33633 / 11211
GCD(303, 111) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 70) = 210
GCD(3, 70) = ( 3 x 70 ) / 210
GCD(3, 70) = 210 / 210
GCD(3, 70) = 1
GCD of 303, 111, 70 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 303, 111, 70?
GCD of 303, 111, 70 is 1
2. Where do I get the detailed procedure to find GCD of 303, 111, 70?
You can find a detailed procedure to find GCD of 303, 111, 70 on our page.
3. How to find GCD of 303, 111, 70 on a calculator?
You can find the GCD of 303, 111, 70 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.