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, 735, 14, 371 i.e. 1 largest integer that divides all the numbers equally.
GCD of 449, 735, 14, 371 is 1
GCD(449, 735, 14, 371) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 449, 735, 14, 371 is 1
GCD(449, 735, 14, 371) = 1
Given Input numbers are 449, 735, 14, 371
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 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Greatest Common Divisior
We found the divisors of 449, 735, 14, 371 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 735, 14, 371 is 1.
Therefore, GCD of numbers 449, 735, 14, 371 is 1
Given Input Data is 449, 735, 14, 371
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 449 is 449
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 14 is 2 x 7
Prime Factorization of 371 is 7 x 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, 735) = 330015
GCD(449, 735) = ( 449 x 735 ) / 330015
GCD(449, 735) = 330015 / 330015
GCD(449, 735) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 371
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
GCD(1, 371) = 371 / 371
GCD(1, 371) = 1
GCD of 449, 735, 14, 371 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 449, 735, 14, 371?
GCD of 449, 735, 14, 371 is 1
2. Where do I get the detailed procedure to find GCD of 449, 735, 14, 371?
You can find a detailed procedure to find GCD of 449, 735, 14, 371 on our page.
3. How to find GCD of 449, 735, 14, 371 on a calculator?
You can find the GCD of 449, 735, 14, 371 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.