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 913, 196, 406, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 913, 196, 406, 271 is 1
GCD(913, 196, 406, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 913, 196, 406, 271 is 1
GCD(913, 196, 406, 271) = 1
Given Input numbers are 913, 196, 406, 271
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 913, 196, 406, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 913, 196, 406, 271 is 1.
Therefore, GCD of numbers 913, 196, 406, 271 is 1
Given Input Data is 913, 196, 406, 271
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 913 is 11 x 83
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 406 is 2 x 7 x 29
Prime Factorization of 271 is 271
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(913, 196) = 178948
GCD(913, 196) = ( 913 x 196 ) / 178948
GCD(913, 196) = 178948 / 178948
GCD(913, 196) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 913, 196, 406, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 913, 196, 406, 271?
GCD of 913, 196, 406, 271 is 1
2. Where do I get the detailed procedure to find GCD of 913, 196, 406, 271?
You can find a detailed procedure to find GCD of 913, 196, 406, 271 on our page.
3. How to find GCD of 913, 196, 406, 271 on a calculator?
You can find the GCD of 913, 196, 406, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.