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 449, 377, 53 i.e. 1 largest integer that divides all the numbers equally.
GCD of 449, 377, 53 is 1
GCD(449, 377, 53) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 449, 377, 53 is 1
GCD(449, 377, 53) = 1
Given Input numbers are 449, 377, 53
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 449
List of positive integer divisors of 449 that divides 449 without a remainder.
1, 449
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Greatest Common Divisior
We found the divisors of 449, 377, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 377, 53 is 1.
Therefore, GCD of numbers 449, 377, 53 is 1
Given Input Data is 449, 377, 53
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 449 is 449
Prime Factorization of 377 is 13 x 29
Prime Factorization of 53 is 53
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(449, 377) = 169273
GCD(449, 377) = ( 449 x 377 ) / 169273
GCD(449, 377) = 169273 / 169273
GCD(449, 377) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
GCD of 449, 377, 53 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 449, 377, 53?
GCD of 449, 377, 53 is 1
2. Where do I get the detailed procedure to find GCD of 449, 377, 53?
You can find a detailed procedure to find GCD of 449, 377, 53 on our page.
3. How to find GCD of 449, 377, 53 on a calculator?
You can find the GCD of 449, 377, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.