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 211, 721, 45, 276 i.e. 1 largest integer that divides all the numbers equally.
GCD of 211, 721, 45, 276 is 1
GCD(211, 721, 45, 276) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 211, 721, 45, 276 is 1
GCD(211, 721, 45, 276) = 1
Given Input numbers are 211, 721, 45, 276
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 211
List of positive integer divisors of 211 that divides 211 without a remainder.
1, 211
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Greatest Common Divisior
We found the divisors of 211, 721, 45, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 211, 721, 45, 276 is 1.
Therefore, GCD of numbers 211, 721, 45, 276 is 1
Given Input Data is 211, 721, 45, 276
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 211 is 211
Prime Factorization of 721 is 7 x 103
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 276 is 2 x 2 x 3 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(211, 721) = 152131
GCD(211, 721) = ( 211 x 721 ) / 152131
GCD(211, 721) = 152131 / 152131
GCD(211, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 45
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 45) = 45
GCD(1, 45) = ( 1 x 45 ) / 45
GCD(1, 45) = 45 / 45
GCD(1, 45) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 276
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 276) = 276
GCD(1, 276) = ( 1 x 276 ) / 276
GCD(1, 276) = 276 / 276
GCD(1, 276) = 1
GCD of 211, 721, 45, 276 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 211, 721, 45, 276?
GCD of 211, 721, 45, 276 is 1
2. Where do I get the detailed procedure to find GCD of 211, 721, 45, 276?
You can find a detailed procedure to find GCD of 211, 721, 45, 276 on our page.
3. How to find GCD of 211, 721, 45, 276 on a calculator?
You can find the GCD of 211, 721, 45, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.