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, 471, 791, 970 i.e. 1 largest integer that divides all the numbers equally.
GCD of 449, 471, 791, 970 is 1
GCD(449, 471, 791, 970) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 449, 471, 791, 970 is 1
GCD(449, 471, 791, 970) = 1
Given Input numbers are 449, 471, 791, 970
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Greatest Common Divisior
We found the divisors of 449, 471, 791, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 471, 791, 970 is 1.
Therefore, GCD of numbers 449, 471, 791, 970 is 1
Given Input Data is 449, 471, 791, 970
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 449 is 449
Prime Factorization of 471 is 3 x 157
Prime Factorization of 791 is 7 x 113
Prime Factorization of 970 is 2 x 5 x 97
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, 471) = 211479
GCD(449, 471) = ( 449 x 471 ) / 211479
GCD(449, 471) = 211479 / 211479
GCD(449, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 791
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 791) = 791
GCD(1, 791) = ( 1 x 791 ) / 791
GCD(1, 791) = 791 / 791
GCD(1, 791) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 970
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 970) = 970
GCD(1, 970) = ( 1 x 970 ) / 970
GCD(1, 970) = 970 / 970
GCD(1, 970) = 1
GCD of 449, 471, 791, 970 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 449, 471, 791, 970?
GCD of 449, 471, 791, 970 is 1
2. Where do I get the detailed procedure to find GCD of 449, 471, 791, 970?
You can find a detailed procedure to find GCD of 449, 471, 791, 970 on our page.
3. How to find GCD of 449, 471, 791, 970 on a calculator?
You can find the GCD of 449, 471, 791, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.