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 212, 261, 307, 269 i.e. 1 largest integer that divides all the numbers equally.
GCD of 212, 261, 307, 269 is 1
GCD(212, 261, 307, 269) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 212, 261, 307, 269 is 1
GCD(212, 261, 307, 269) = 1
Given Input numbers are 212, 261, 307, 269
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 212
List of positive integer divisors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106, 212
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Greatest Common Divisior
We found the divisors of 212, 261, 307, 269 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 212, 261, 307, 269 is 1.
Therefore, GCD of numbers 212, 261, 307, 269 is 1
Given Input Data is 212, 261, 307, 269
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 212 is 2 x 2 x 53
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 307 is 307
Prime Factorization of 269 is 269
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(212, 261) = 55332
GCD(212, 261) = ( 212 x 261 ) / 55332
GCD(212, 261) = 55332 / 55332
GCD(212, 261) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 307
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 307) = 307
GCD(1, 307) = ( 1 x 307 ) / 307
GCD(1, 307) = 307 / 307
GCD(1, 307) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
GCD(1, 269) = 269 / 269
GCD(1, 269) = 1
GCD of 212, 261, 307, 269 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 212, 261, 307, 269?
GCD of 212, 261, 307, 269 is 1
2. Where do I get the detailed procedure to find GCD of 212, 261, 307, 269?
You can find a detailed procedure to find GCD of 212, 261, 307, 269 on our page.
3. How to find GCD of 212, 261, 307, 269 on a calculator?
You can find the GCD of 212, 261, 307, 269 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.