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 302, 611, 67, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 302, 611, 67, 209 is 1
GCD(302, 611, 67, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 302, 611, 67, 209 is 1
GCD(302, 611, 67, 209) = 1
Given Input numbers are 302, 611, 67, 209
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 302, 611, 67, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 302, 611, 67, 209 is 1.
Therefore, GCD of numbers 302, 611, 67, 209 is 1
Given Input Data is 302, 611, 67, 209
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 302 is 2 x 151
Prime Factorization of 611 is 13 x 47
Prime Factorization of 67 is 67
Prime Factorization of 209 is 11 x 19
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(302, 611) = 184522
GCD(302, 611) = ( 302 x 611 ) / 184522
GCD(302, 611) = 184522 / 184522
GCD(302, 611) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
GCD of 302, 611, 67, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 302, 611, 67, 209?
GCD of 302, 611, 67, 209 is 1
2. Where do I get the detailed procedure to find GCD of 302, 611, 67, 209?
You can find a detailed procedure to find GCD of 302, 611, 67, 209 on our page.
3. How to find GCD of 302, 611, 67, 209 on a calculator?
You can find the GCD of 302, 611, 67, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.