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 311, 382, 261, 437 i.e. 1 largest integer that divides all the numbers equally.
GCD of 311, 382, 261, 437 is 1
GCD(311, 382, 261, 437) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 311, 382, 261, 437 is 1
GCD(311, 382, 261, 437) = 1
Given Input numbers are 311, 382, 261, 437
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 311
List of positive integer divisors of 311 that divides 311 without a remainder.
1, 311
Divisors of 382
List of positive integer divisors of 382 that divides 382 without a remainder.
1, 2, 191, 382
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 437
List of positive integer divisors of 437 that divides 437 without a remainder.
1, 19, 23, 437
Greatest Common Divisior
We found the divisors of 311, 382, 261, 437 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 311, 382, 261, 437 is 1.
Therefore, GCD of numbers 311, 382, 261, 437 is 1
Given Input Data is 311, 382, 261, 437
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 311 is 311
Prime Factorization of 382 is 2 x 191
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 437 is 19 x 23
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(311, 382) = 118802
GCD(311, 382) = ( 311 x 382 ) / 118802
GCD(311, 382) = 118802 / 118802
GCD(311, 382) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 261
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
GCD(1, 261) = 261 / 261
GCD(1, 261) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 437
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 437) = 437
GCD(1, 437) = ( 1 x 437 ) / 437
GCD(1, 437) = 437 / 437
GCD(1, 437) = 1
GCD of 311, 382, 261, 437 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 311, 382, 261, 437?
GCD of 311, 382, 261, 437 is 1
2. Where do I get the detailed procedure to find GCD of 311, 382, 261, 437?
You can find a detailed procedure to find GCD of 311, 382, 261, 437 on our page.
3. How to find GCD of 311, 382, 261, 437 on a calculator?
You can find the GCD of 311, 382, 261, 437 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.