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 916, 271, 266, 349 i.e. 1 largest integer that divides all the numbers equally.
GCD of 916, 271, 266, 349 is 1
GCD(916, 271, 266, 349) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 916, 271, 266, 349 is 1
GCD(916, 271, 266, 349) = 1
Given Input numbers are 916, 271, 266, 349
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 916
List of positive integer divisors of 916 that divides 916 without a remainder.
1, 2, 4, 229, 458, 916
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 349
List of positive integer divisors of 349 that divides 349 without a remainder.
1, 349
Greatest Common Divisior
We found the divisors of 916, 271, 266, 349 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 916, 271, 266, 349 is 1.
Therefore, GCD of numbers 916, 271, 266, 349 is 1
Given Input Data is 916, 271, 266, 349
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 916 is 2 x 2 x 229
Prime Factorization of 271 is 271
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 349 is 349
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(916, 271) = 248236
GCD(916, 271) = ( 916 x 271 ) / 248236
GCD(916, 271) = 248236 / 248236
GCD(916, 271) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 266
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 266) = 266
GCD(1, 266) = ( 1 x 266 ) / 266
GCD(1, 266) = 266 / 266
GCD(1, 266) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 349
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
GCD(1, 349) = 349 / 349
GCD(1, 349) = 1
GCD of 916, 271, 266, 349 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 916, 271, 266, 349?
GCD of 916, 271, 266, 349 is 1
2. Where do I get the detailed procedure to find GCD of 916, 271, 266, 349?
You can find a detailed procedure to find GCD of 916, 271, 266, 349 on our page.
3. How to find GCD of 916, 271, 266, 349 on a calculator?
You can find the GCD of 916, 271, 266, 349 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.